Show that the product of two numbers 60 and 84 is equal to the product of their hcf and lcm
Answers
Step-by-step explanation:
The product of the given two numbers is 60*84=5040--(1)
Now the hcf of 60&84 is 12.
Lcm of 60&84 is 420.
Now the product of hcf and lcm is 420*12=5040---(2)
(1)=(2)
Hence proved.
[HCF of two numbers can be found dividing the numbers with the difference between the given numbers or its greatest factor.
84-60=24.
84&60 doesn't get completely divided by 24,
so its next factor is 12. 12 completely divides 60&84. So hcf is 12.
Similarly LCM can be found by checking the divisibility of both numbers with the largest number or its multiples.
84 is the largest number.But 84 doesn't gets completely divided by 60. So proceeding with multiples of 84, we get 420 which gets completely divided by both 60&84.]
Answer:
Step-by-step explanation:
HCF of 60& 84 =12.
LCM = 420
LCM × HCF =5040
60×84 = 5040
hence , LCM×HCF = product of no
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