Question 25

The LCM of 56, 84 and 112 is:

Solution

Find the prime factorization of 56,84,112
56 = 2 × 2 × 2 × 7 .........i)

84 = 2 × 2 × 3 × 7..........ii)

112= 2 × 2 × 2 ×2 ×7.........iii)

Multiply each factor the greater number of times it occurs in steps i) , ii) or iii) above to find the lcm:

LCM = 2 × 2 × 2 × 2×3 × 7

=336


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