Subscribe to our YouTube channel for the latest videos, updates, and tips.


Worksheet on H.C.F. and L.C.M. of Monomials

Practice the questions given in the worksheet on H.C.F. and L.C.M. of monomials. The questions are based on finding the highest common factor (H.C.F.) and lowest common multiple (L.C.M.) of two or more monomials.

1. Find the highest common factor (H.C.F.) and lowest common multiple (L.C.M.) of the two monomials:

(i) m2n and mn2

(ii) a2bc3 and ab2cd

(iii) 15p2q3 and 12p3q

(iv) 13x2yz and 39x3yz2

(v) 17abc2 and 51a2b

(vi) 15p3q3r and 25pq3r2



(vii) 17a2b4k2 and 51a4k4

(viii) 72a2x3y4 and 108a3x2y5


2. Find the H.C.F. and L.C.M. of the following three monomials:

(i) 2xyz, 3xz and 4xyz 

(ii) 2ab, 4bc and 6abc

(iii) 9pqr, 3q2r and pqr

(iv) 3mn2, 15m2n3 and 21m3n2

(v) 11xyz3, 33x2y2z and 99xyz

(vi) -4m5, -16m3n and -20m2n2

(vii) x3yz, 4xy3 and 8z2

(viii) 3xy, 2yz and 5xyz

(ix) 20x2y3, 32x3y2z and 8xz3

(x) 5ab, 9b2c and 15ac3

(xi) a3b2, b2c4 and a3b5c4

(xii) 15x3y4, 20k2x2y3 and 30kx3


Answers for the worksheet on H.C.F. and L.C.M. of monomials are given below to check the exact answers of the above questions.


Answers:


1. (i) H.C.F. = mn and L.C.M. = m2n2

(ii) H.C.F. = abc and L.C.M. = a2b2c3d

(iii) H.C.F. = 3p2q and L.C.M. = 60p3q3

(iv) H.C.F. = 13x2yz and L.C.M. = 39x3yz2

(v) H.C.F. = 17ab and L.C.M. = 51a2bc2

(vi) H.C.F. = 5pq3r and L.C.M. = 75p3q3r2

(vii) H.C.F. = 17a2k2 and L.C.M. = 51a4b4k4

(viii) H.C.F. = 36a2x2y4 and L.C.M. = 216a3x3y5



2. (i) H.C.F. = xz and L.C.M. = 12xyz

(ii) H.C.F. = 2b and L.C.M. = 12abc

(iii) H.C.F. = qr and L.C.M. = 9pq2r

(iv) H.C.F. = 3mn2 and L.C.M. = 105m3n3

(v) H.C.F. = 11xyz and L.C.M. = 99x2y2z3

(vi) H.C.F. = -4m2 and L.C.M. = -80m5n2

(vii) H.C.F. = 1 and L.C.M. = 8x3y3z2

(viii) H.C.F. = y and L.C.M. = 30xyz

(ix) H.C.F. = 4x and L.C.M. = 160x3y3z3

(x) H.C.F. = 1 and L.C.M. = 45ab2c3

(xi) H.C.F. = b2 and L.C.M. = a3b5c4

(xii) H.C.F. = 5x2 and L.C.M. = 60k2x3y4








Math Homework Sheets

8th Grade Math Practice

From Worksheet on H.C.F. and L.C.M. of Monomials to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Calculating Profit Percent and Loss Percent | Profit and Loss Formulas

    Jun 12, 25 12:48 PM

    In calculating profit percent and loss percent we will learn about the basic concepts of profit and loss. We will recall facts and formula while calculating profit percent and loss percent. Now we wil

    Read More

  2. Word Problems on Profit and Loss Worksheet |Cost Price |Selling Price

    Jun 11, 25 04:26 PM

    Word Problems on Profit and Loss Worksheet
    In word problems on profit and loss worksheet you will get different types of problems on cost price and selling price, profit and loss, calculating profit o loss, calculating selling price and cost p…

    Read More

  3. Round off to Nearest 1000 |Rounding Numbers to Nearest Thousand| Rules

    Jun 11, 25 03:12 PM

    Round off to Nearest 1000
    Round off to nearest 1000 is discussed here. While rounding off to the nearest 1000, if the digit in the hundreds place is between 0 – 4 i.e., < 5, then the hundreds place is replaced by ‘0’. If the d…

    Read More

  4. Round off to Nearest 100 | Rounding Numbers To Nearest Hundred | Rules

    Jun 11, 25 03:13 AM

    Round off to Nearest 100
    While rounding off to the nearest hundred, if the digit in the tens place is between 0 – 4 i.e. < 5, then the tens place is replaced by ‘0’. If the digit in the units place is equal to or >5, then the…

    Read More

  5. Round off to Nearest 10 |How To Round off to Nearest 10?|Rounding Rule

    Jun 10, 25 05:36 PM

    Rounding to the Nearest 10
    Round off to nearest 10 is discussed here. Rounding can be done for every place-value of number. To round off a number to the nearest tens, we round off to the nearest multiple of ten. A large number…

    Read More