Find the HCF and LCM of the following and show the results LCM*HCF=product of both number 150,75
Answers
Step-by-step explanation:
LCM of (150,75)= 150
LCM × HCF = product of two numbers
150× HCF. = (150)(75)
150× HCF. = 11250
therefore HCF = 11250/ 150
=75
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Answer:
hiii hlo myself Sheetal pandey
Step-by-step explanation:
(150,75)
factors of 150
150= 2×3×5×5
factor of 75
75=3×5×5
then we find hcf
hcf= smallest power of common factor
hcf=then comman factor is 3 and 5 smallest power of 3 is 3 and smallest power of 5 is (5)² so hcf= (5)²×3=75
then lcm= product of all number having greatest power
lcm= then the factor of 150 is 2×3×5×5 .we can also written as 2×3×(5)² then the LCM is 2×3×(5)²=150.
LCM= 150
HCF = 75
then verify lcm× hcf= product of two numbers
let one number a and second number b
lcm ×hcf= a×b
150×75=150×75
11250=11250
hence proved