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Finding Lowest Common Multiple Distinct Factors

Level 3

This math topic involves identifying and listing the distinct prime factors of specified pairs of numbers. It challenges students to analyze pairs of numbers to find individual prime factors and their combinations that are common to each pair. The activity is structured to encourage a deeper understanding of factorization and the determination of the Lowest Common Multiple (LCM) through the use of practical examples.

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 Worksheet

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Finding Lowest Common Multiple Distinct Factors
1
Find the set of all the distinct prime factors of these numbers
14, 6
a
{7, 3, 5, 5, 7}
b
{2, 7, 3}
c
{2, 7, 3, 4}
d
{2, 7}
e
{2, 5, 3}
f
{2, 7, 5, 2, 3}
2
Find the set of all the distinct prime factors of these numbers
11, 7
a
{3, 7, 3, 3, 5}
b
{11}
c
{11, 7}
d
{11, 7, 4}
e
{11, 7, 7}
f
{5, 7, 4, 5, 2}
3
Find the set of all the distinct prime factors of these numbers
7, 13
a
{7, 13, 3}
b
{7, 3, 3, 4}
c
{7, 7, 2, 4}
d
{7, 13}
e
{7, 3}
f
{4, 13, 5, 6, 3}
4
Find the set of all the distinct prime factors of these numbers
7, 6
a
{2, 3, 2, 3, 4}
b
{7, 2, 6}
c
{7, 2, 3}
d
{7, 3, 3, 3, 7}
e
{7, 3, 7, 4, 3}
f
{2, 3, 5, 4, 3}
5
Find the set of all the distinct prime factors of these numbers
18, 10
a
{2, 3, 3, 5, 3}
b
{2, 3, 3, 5, 6}
c
{3, 3, 5}
d
{2, 3, 5}
e
{2, 3, 3, 5}
f
{2, 3, 3, 5, 5}
6
Find the set of all the distinct prime factors of these numbers
12, 16
a
{2, 2, 3, 2}
b
{2, 2, 3, 2, 2, 6}
c
{2, 2, 2, 2, 2}
d
{2, 2, 3, 2, 2}
e
{2, 4, 3, 2, 2}
f
{2, 2, 3, 2, 2, 7}
7
Find the set of all the distinct prime factors of these numbers
13, 9
a
{13, 3, 2}
b
{13, 3, 3, 2}
c
{13, 3, 6}
d
{13, 3, 3}
e
{3, 3}
f
{2, 3, 3}
8
Find the set of all the distinct prime factors of these numbers
13, 10
a
{2, 5}
b
{13, 2, 5, 4}
c
{13, 2, 3}
d
{13, 4, 5}
e
{13, 2, 5}
f
{7, 2, 5}