Find the LCM and HCF of 48 and 60 and show that product of the numbers is equal to their product of LCM and HCF
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Step-by-step explanation:
LCM of 48 is 120
LCM of 60 is also 120
HCF of 48 and 60 is 20
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48=2×2×2×2×3=2⁴×3
60=2×2×5×3=2²×5×3
LCM= 2⁴×5×3= 240
HCF= 2²×3= 12
product of numbers=48×60= 2880
LCM×HCF =2880
HENCE,
PRODUCT OF THE NUMBERS=LCM×HCF
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