Using fundamental theorem of Arithmetic find L.C.M. and H.C.F of 816 and 170.
L.C.M. =4080 and H.C.F =34
L.C.M. =8160 and H.C.F =68
L.C.M. =2048 and H.C.F =62
L.C.M. =2040 and H.C.F =72
A
L.C.M. =4080 and H.C.F =34
B
L.C.M. =2048 and H.C.F =62
C
L.C.M. =8160 and H.C.F =68
D
L.C.M. =2040 and H.C.F =72
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Solution
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According to the fundamental theorem of arithmetic every composite number can be factorised as a product of primes and this factorization is unique apart from the order in which the prime factor occurs.
Fundamental theorem of arithmetic is also called unique factorization theorem.
Composite number = product of prime numbers.
Any Integer greater than 1, either be a prime number or can be written as a product of prime factors.
The prime factors of 816=2×2×2×2×3×17=24×3×17
The prime factors of 170=2×5×17
LCM of 816 and 170=24×3×5×17=4080
HCF of 816 and 170=2×17=34
Option A.
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