what is lcm and hcf of 45,75,30 respectively
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Answer:
LCM=450
HCF=15
Step-by-step explanation:
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Answer:
LCM or HCF of three numbers is nothing but LCM or HCF of one of those numbers and LCM or HCF of the remaining two numbers.
Prime factorisation:
45 = 3 x 3 x 5
75 = 3 x 5 x 5
30 = 2 x 3 x 5
HCF of 45 and 75 = 3 x 5 = 15
Product of numbers = Product of HCF and LCM
So, LCM x 15 = 45 x 75
LCM = 225
HCF of 3 x 5 and 2 x 3 x 5 = 3 x 5 = 15
LCM of 3 x 3 x 5 x 5 and 2 x 3 x 5 = 2 x 3 x 3 x 5 x 5 = 450
HCF and LCM of 45, 75 and 30 are 15 and 450 respectively.
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