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.

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Finding Lowest Common Multiple Distinct Factors - 3 Numbers Worksheet

Math worksheet on 'Finding Lowest Common Multiple Distinct Factors - 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 set of all the distinct prime factors of these numbers

14, 16, 10

a

{2, 7, 2, 2, 2, 5, 2}

b

{2, 7, 2, 6, 2, 5}

c

{2, 7, 2, 2, 2, 5}

d

{2, 7, 3, 2, 2, 5}

e

{2, 7, 2, 2, 5}

f

{2, 7, 2, 2, 2, 5, 7}

2

Find the set of all the distinct prime factors of these numbers

15, 11, 7

a

{3, 5, 11, 7, 2}

b

{3, 5, 11, 7, 6}

c

{3, 5, 11, 5}

d

{3, 4, 11, 7}

e

{3, 5, 11, 7}

f

{3, 5, 11, 4}

3

Find the set of all the distinct prime factors of these numbers

18, 12, 9

a

{2, 3, 3, 2}

b

{2, 5, 3, 2}

c

{2, 3, 2}

d

{3, 3, 2}

e

{2, 6, 3, 2}

f

{2, 2, 3, 2}

4

Find the set of all the distinct prime factors of these numbers

17, 14, 13

a

{17, 2, 7, 13}

b

{5, 2, 7, 13}

c

{17, 6, 7, 13}

d

{17, 2, 7, 13, 3}

e

{17, 2, 13}

f

{17, 2, 7, 13, 5}

5

Find the set of all the distinct prime factors of these numbers

14, 12, 6

a

{2, 7, 2, 7}

b

{2, 7, 4, 3}

c

{2, 7, 2, 3}

d

{2, 7, 2}

e

{2, 7, 2, 3, 7}

f

{2, 7, 3}

6

Find the set of all the distinct prime factors of these numbers

17, 18, 11

a

{17, 2, 6, 3, 11}

b

{17, 3, 3, 3, 11}

c

{3, 2, 3, 3, 11}

d

{17, 2, 3, 3, 11}

e

{17, 2, 3, 2, 11}

f

{17, 2, 3, 3, 11, 5}

7

Find the set of all the distinct prime factors of these numbers

17, 15, 7

a

{5, 3, 5, 7}

b

{17, 3, 2, 7}

c

{7, 3, 5, 7}

d

{17, 3, 5}

e

{17, 3, 5, 7}

f

{17, 3, 5, 7, 5}