Find the LCM and HCF of 30, 75 and verify that Product of the numbers = Product of their HCF and LCM
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Solution:
The smallest number that is divisible by 30 and 75 exactly is their LCM.
⇒ Multiples of 30 and 75:
Multiples of 30 = 30, 60, 90, 120, 150, 180, . . . .
Multiples of 75 = 75, 150, 225, 300, 375, 450, . . . .
Therefore, the LCM of 30 and 75 is 150.
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Step-by-step explanation:
We know LCM×HCF=Product of thier number
LCM of 30 and 75 is 150
HGF of 30 and 75 is 15
150×15=30×75
2250=2250
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