(26) find the HCF and LCM
theproduct of
of 36, 450
and verify that
members
HCFmultiplyLCM
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Step-by-step explanation:
Steps to find LCM
Find the prime factorization of 36
36 = 2 × 2 × 3 × 3
Find the prime factorization of 450
450 = 2 × 3 × 3 × 5 × 5
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:
LCM = 2 × 2 × 3 × 3 × 5 × 5
LCM = 900
HCF
Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18 and 36. Therefore, common factor of 24 and 36 = 1, 2, 3, 4, 6, 8 and 12. Highest common factor (H.C.F) of 24 and 36 = 12.
Factors of 450 =1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450.
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