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Finding Lowest Common Multiple Distinct Factors - 3 Numbers

Level 1

This math topic focuses on identifying distinct prime factors of sets of three numbers. It reinforces skills in factoring and determining the lowest common multiple (LCM) by having learners find all the unique prime factors for various groups of integers. Each question provides a different set of numbers, and students are required to identify the constituent prime factors. The multiple-choice format of the problems helps learners validate their understanding of prime factorization and its applications in finding LCM.

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

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Finding Lowest Common Multiple Distinct Factors - 3 Numbers Worksheet

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Finding Lowest Common Multiple Distinct Factors - 3 Numbers
1
Find the set of all the distinct prime factors of these numbers
5, 9, 6
a
{5, 3, 2}
b
{5, 2, 3, 2}
c
{5, 3, 3, 2, 3}
d
{5, 3, 3, 2, 4}
e
{5, 3, 3, 2}
f
{5, 3, 3, 2, 7}
2
Find the set of all the distinct prime factors of these numbers
5, 9, 10
a
{5, 4, 3, 2}
b
{5, 3, 3, 2, 2}
c
{5, 3, 3, 2, 3}
d
{5, 3, 2}
e
{5, 3, 3, 2}
f
{3, 3, 2}
3
Find the set of all the distinct prime factors of these numbers
4, 5, 11
a
{2, 2, 3, 11}
b
{2, 2, 5, 11, 7}
c
{2, 2, 5, 11}
d
{2, 2, 5, 11, 6}
e
{3, 2, 5, 11}
f
{2, 5, 11}
4
Find the set of all the distinct prime factors of these numbers
5, 2, 12
a
{4, 2, 2, 3}
b
{5, 2, 2, 3}
c
{5, 2, 2, 3, 6}
d
{5, 2, 4, 3}
e
{5, 2, 2, 6}
f
{5, 2, 2}
5
Find the set of all the distinct prime factors of these numbers
11, 7, 9
a
{11, 3, 3}
b
{7, 3, 3}
c
{11, 7, 2, 3}
d
{11, 7, 3, 4}
e
{11, 7, 3, 3, 2}
f
{11, 7, 3, 3}
6
Find the set of all the distinct prime factors of these numbers
5, 10, 7
a
{5, 2, 7}
b
{5, 7, 6, 7, 2}
c
{5, 2, 7, 4}
d
{6, 2, 7}
e
{5, 2, 7, 2}
f
{5, 2, 7, 7}
7
Find the set of all the distinct prime factors of these numbers
9, 6, 7
a
{3, 3, 2, 7, 3}
b
{3, 3, 2, 7, 6}
c
{3, 3, 2, 6}
d
{3, 3, 2, 7}
e
{3, 3, 7}
f
{3, 3, 2}
8
Find the set of all the distinct prime factors of these numbers
12, 3, 6
a
{2, 4, 3}
b
{2, 2, 3}
c
{2, 3}
d
{2, 3, 6, 6, 4}
e
{2, 7, 3}
f
{2, 3, 2, 4, 2}