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Finding Lowest Common Multiple Distinct Factors - 3 Numbers

Level 3

This math topic focuses on identifying and listing distinct prime factors of sets of three numbers. Students analyze a given trio of integers to determine all prime numbers that factor into each number. The task mainly sharpens skills in prime factorization and understanding the property of lowest common multiples (LCMs). Multiple-choice responses assess the ability to correctly list unique primes, reinforcing number theory roots in practical factorization scenarios.

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
17, 11, 7
a
{17, 5, 7}
b
{17, 11, 7, 4}
c
{17, 11, 7}
d
{17, 11, 7, 5}
e
{17, 11, 2}
f
{17, 11, 3, 2, 2}
2
Find the set of all the distinct prime factors of these numbers
11, 10, 8
a
{2, 5, 2, 2}
b
{11, 2, 4, 2, 2}
c
{11, 2, 5, 2, 2, 3}
d
{11, 2, 5, 2, 2, 7}
e
{11, 2, 5, 2, 2}
f
{11, 2, 2, 2}
3
Find the set of all the distinct prime factors of these numbers
15, 14, 17
a
{3, 5, 2, 6, 17}
b
{3, 5, 2, 7, 17}
c
{3, 5, 2, 7}
d
{3, 5, 2, 7, 6}
e
{3, 5, 7, 17}
f
{3, 5, 2, 7, 17, 5}
4
Find the set of all the distinct prime factors of these numbers
17, 16, 14
a
{2, 2, 2, 2, 7}
b
{17, 2, 2, 2, 2, 7}
c
{17, 6, 2, 2, 2, 7}
d
{17, 2, 7, 2, 2, 7}
e
{17, 5, 2, 2, 2, 7}
f
{17, 2, 2, 2, 7}
5
Find the set of all the distinct prime factors of these numbers
12, 16, 15
a
{2, 2, 3, 2, 5}
b
{2, 2, 6, 2, 2, 5}
c
{2, 2, 3, 2, 2, 5}
d
{2, 2, 3, 2, 2, 5, 2}
e
{2, 3, 2, 2, 5}
f
{2, 2, 3, 2, 2, 2}
6
Find the set of all the distinct prime factors of these numbers
12, 14, 17
a
{2, 3, 7, 17}
b
{2, 2, 3, 17}
c
{2, 2, 3, 7, 17}
d
{2, 2, 3, 7, 17, 7}
e
{7, 2, 3, 7, 17}
f
{4, 2, 3, 7, 17}
7
Find the set of all the distinct prime factors of these numbers
6, 8, 17
a
{2, 3, 2, 2, 5}
b
{2, 3, 3, 2, 17}
c
{2, 3, 2, 17}
d
{2, 3, 2, 2, 17}
e
{2, 3, 2, 2, 17, 7}
f
{2, 3, 2, 2, 17, 5}
8
Find the set of all the distinct prime factors of these numbers
13, 6, 8
a
{7, 2, 3, 2, 2}
b
{13, 2, 3, 2, 2, 6}
c
{13, 3, 2, 2}
d
{13, 2, 3, 2, 2, 4}
e
{13, 2, 3, 2, 2}
f
{5, 2, 3, 2, 2}