Question

14. Find the HCF of 180 and 336. Hence, find their LCM.
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Answer 1

Answer:

Find the prime factorization of 180=2×2×3×3×5

Find the prime factorization of 336=2×2×2×2×3×7

Multiply each factor the greater number of times it occurs in steps i.) or ii.) above to find LCM

LCM=2×2×2×2×3×3×5×7

iv.)LCM=5040

Answer 2

Answer:

$\purple{answer = 5040}$

Step-by-step explanation:

$336 = 180 \times 1 + 156 \\ 180 = 56 \times 1 + 24 \\ 156 = 24 \times 6 + 12 \\ 24 = 12 \times 2 + 0 \\ \\ \\ hcf = 12$

product of two numbers = HCF×LCM

product of two numbers= 180×336=60480

LCM= product of two numbers ÷ HCF

$= 60480 \div 12 \\ = 5040$