Math, asked by rakeshyaduvanshir123, 9 months ago

find the LCM and HCf of the following pairs of integers by applying the fundamental theorem of arithematic method 455, 78​

Answers

Answered by sonal6199
14

455=5×7×13

78=2×3×13

therefore

hcf =13

LCM = 5×7×2 ×3×13 =2730

Answered by pranawrakshan463
17

Answer:

*fundamental Theorem of Arithmetic*

-every composite number can be expressed as product of primes, and this factorisation is unique, apart from the order in which the prime factors.

Step-by-step explanation:

455 = 5×7×13

78. = 2×3×13

L.C.M = 5×7×13×2×3

= 2730

H.C.F = highest common factor

= 13

therefore, LCM of the given number is 2730

HCF of the given number is 13

hope it is helpful

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