find the HCF and LCM of 42 ,90 and 72
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Answer:
LCM (42, 90, 72) = 2520
HCF (42, 90, 72) = 6
Step-by-step explanation:
Prime Factorisation of 42
42 = 2 × 3 × 7
Prime Factorisation of 90
90 = 2 × 3 × 3 × 5 = 2 × 3² × 5
Prime Factorisation of 72
72 = 2 × 2 × 2 × 3 × 3 = 2³ × 3²
LCM (42, 90, 72)
= Product of highest power of the prime factors
= 2³ × 3² × 5 × 7
= 2520
HCF (42, 90, 72)
= Product of lowest power of the prime factors present in all numbers
= 2 × 3
= 6
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