This math topic focuses on finding the lowest common multiple (LCM) of three numbers by analyzing their factorizations. Students practice choosing sets of all distinct factors to determine the LCM from provided factorizations for groups of three numbers. Alongside this practical exercise, there are multiple answer choices presented for each problem, emphasizing critical thinking and problem-solving skills in determining the correct LCM. The problems involve basic factorization and understanding how to compute LCM using these factorizations. This forms a part of broader lessons on factoring and lowest common multiples.

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 Worksheet

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Finding Lowest Common Multiple from Factorizations - 3 Numbers
1
Find the lowest common multiple of these numbers from their factorization by choosing the set of all distinct factors
A LaTex expression showing 12 ( = 2 multiplied by 2 multiplied by 3)\\6 ( = 2 multiplied by 3)\\13 ( = 13)
a
620
b
159
c
1,088
d
314
e
157
f
156
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)\\8 ( = 2 multiplied by 2 multiplied by 2)
a
938
b
312
c
934
d
1,557
e
311
f
1,555
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)\\10 ( = 2 multiplied by 5)\\9 ( = 3 multiplied by 3)
a
6,931
b
496
c
6,929
d
332
e
990
f
5,937
4
Find the lowest common multiple of these numbers from their factorization by choosing the set of all distinct factors
A LaTex expression showing 15 ( = 3 multiplied by 5)\\13 ( = 13)\\6 ( = 2 multiplied by 3)
a
2,729
b
1,172
c
2,730
d
390
e
782
f
1,555
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)\\12 ( = 2 multiplied by 2 multiplied by 3)\\8 ( = 2 multiplied by 2 multiplied by 2)
a
839
b
667
c
168
d
87
e
164
f
83
6
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)\\8 ( = 2 multiplied by 2 multiplied by 2)\\10 ( = 2 multiplied by 5)
a
1,678
b
56
c
141
d
280
e
1,116
f
1,115
7
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)\\15 ( = 3 multiplied by 5)\\9 ( = 3 multiplied by 3)
a
30
b
184
c
28
d
90
e
25
f
625
8
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)\\15 ( = 3 multiplied by 5)\\7 ( = 7)
a
214
b
1,469
c
28
d
416
e
67
f
210