Finding Lowest Common Multiple Distinct Factors - 3 Numbers (Level 2)

This math topic focuses on finding the lowest common multiple and identifying distinct prime factors of sets of three numbers. It is part of a broader mastery of factoring skills. The specific problems present three numbers for which students need to determine the set of all distinct prime factors. This requires knowledge of prime factorization and discerning which factors are prime. The problems are given in a multiple-choice format, providing several options of factor sets for each trio of numbers. This practice solidifies understanding of prime factors necessary for calculating the lowest common multiple.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Finding Lowest Common Multiple Distinct Factors - 3 Numbers Worksheet

Math worksheet on 'Finding Lowest Common Multiple Distinct Factors - 3 Numbers (Level 2)'. Part of a broader unit on 'Factoring and Lowest Common Multiple - Advanced' Learn online: app.mobius.academy/math/units/factoring_and_lowest_common_multiple_advanced/

1

Find the set of all the distinct prime factors of these numbers

15, 7, 11

a

{3, 5, 11}

b

{3, 5, 7}

c

{3, 5, 7, 11, 4}

d

{3, 5, 7, 11}

e

{3, 4, 7, 11}

f

{3, 7, 11}

2

Find the set of all the distinct prime factors of these numbers

8, 13, 9

a

{2, 2, 2, 13, 7, 3}

b

{2, 2, 2, 13, 3, 3}

c

{2, 2, 13, 3, 3}

d

{2, 2, 2, 13, 3, 7}

e

{2, 2, 2, 13, 3}

f

{2, 2, 2, 13, 3, 3, 2}

3

Find the set of all the distinct prime factors of these numbers

14, 9, 11

a

{2, 7, 3, 3, 6}

b

{2, 7, 3, 3, 2}

c

{2, 7, 3, 3, 11}

d

{2, 7, 3, 5, 11}

e

{7, 3, 3, 11}

f

{2, 7, 3, 3, 11, 6}

4

Find the set of all the distinct prime factors of these numbers

13, 15, 8

a

{13, 3, 5, 2, 2, 7}

b

{13, 3, 5, 2, 2}

c

{13, 3, 5, 2, 2, 2}

d

{13, 5, 2, 2, 2}

e

{13, 3, 5, 2, 2, 2, 2}

f

{13, 3, 5, 2, 2, 2, 4}

5

Find the set of all the distinct prime factors of these numbers

7, 12, 5

a

{7, 2, 2, 6, 5}

b

{7, 2, 2, 3, 5}

c

{7, 2, 2, 3, 5, 5}

d

{7, 2, 3, 5}

e

{5, 2, 2, 3, 5}

f

{7, 2, 2, 3, 5, 2}

6

Find the set of all the distinct prime factors of these numbers

10, 15, 12

a

{4, 5, 3, 2}

b

{2, 5, 3, 2, 5}

c

{2, 5, 3, 2}

d

{2, 5, 3, 2, 6}

e

{2, 5, 6, 2}

f

{2, 5, 3, 2, 3}

7

Find the set of all the distinct prime factors of these numbers

6, 13, 5

a

{2, 3, 13, 5}

b

{2, 3, 5}

c

{2, 3, 13, 5, 5}

d

{2, 5, 13, 5}

e

{2, 3, 2, 5}

f

{2, 3, 13, 5, 7}