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Finding Lowest Common Multiple from Factorizations - 3 Numbers (Level 3)

This math topic focuses on practicing how to find the lowest common multiple (LCM) of three numbers by analyzing their factorizations. Each question presents a set of three numbers in their factorized form, and learners are tasked with identifying the set of all distinct factors that contribute to the LCM. They must then choose the correct LCM from a list of multiple-choice options. The skills exercised here blend understanding factorization and applying this understanding to find the LCM, which are essential components in advanced arithmetic and number theory.

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

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Finding Lowest Common Multiple from Factorizations - 3 Numbers

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Find the lowest common multiple of these numbers from their factorization by choosing the set of all distinct factors

14(=2×7)7(=7)11(=11)14 ( = 2 \times 7)\\7 ( = 7)\\11 ( = 11)

Finding Lowest Common Multiple from Factorizations - 3 Numbers Worksheet

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Math worksheet on 'Finding Lowest Common Multiple from Factorizations - 3 Numbers (Level 3)'. 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 lowest common multiple of these numbers from their factorization by choosing the set of all distinct factors
A LaTex expression showing 18 ( = 2 multiplied by 3 multiplied by 3)\\10 ( = 2 multiplied by 5)\\11 ( = 11)
a
990
b
93
c
985
d
3,961
e
986
f
326
2
Find the lowest common multiple of these numbers from their factorization by choosing the set of all distinct factors
A LaTex expression showing 6 ( = 2 multiplied by 3)\\13 ( = 13)\\16 ( = 2 multiplied by 2 multiplied by 2 multiplied by 2)
a
1,875
b
3,748
c
1,869
d
205
e
628
f
624
3
Find the lowest common multiple of these numbers from their factorization by choosing the set of all distinct factors
A LaTex expression showing 11 ( = 11)\\13 ( = 13)\\14 ( = 2 multiplied by 7)
a
12,016
b
6,001
c
2002
d
6,003
e
185
f
178
4
Find the lowest common multiple of these numbers from their factorization by choosing the set of all distinct factors
A LaTex expression showing 9 ( = 3 multiplied by 3)\\10 ( = 2 multiplied by 5)\\12 ( = 2 multiplied by 2 multiplied by 3)
a
56
b
355
c
357
d
180
e
55
f
88
5
Find the lowest common multiple of these numbers from their factorization by choosing the set of all distinct factors
A LaTex expression showing 14 ( = 2 multiplied by 7)\\11 ( = 11)\\9 ( = 3 multiplied by 3)
a
1386
b
9,701
c
695
d
1,385
e
2,768
f
9,706
6
Find the lowest common multiple of these numbers from their factorization by choosing the set of all distinct factors
A LaTex expression showing 18 ( = 2 multiplied by 3 multiplied by 3)\\17 ( = 17)\\13 ( = 13)
a
1,328
b
23,871
c
3,977
d
3978
e
1,984
f
230
7
Find the lowest common multiple of these numbers from their factorization by choosing the set of all distinct factors
A LaTex expression showing 7 ( = 7)\\18 ( = 2 multiplied by 3 multiplied by 3)\\10 ( = 2 multiplied by 5)
a
205
b
212
c
121
d
630
e
126
f
310