Math, asked by vidhi6535, 9 months ago

Find the LCM and HCF of the following pairs of integers and verify that LCM multiply HCF= product of the two numbers is 336 and 54.​

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Answered by Anubhav555
1

Step-by-step explanation:

Secondary School Math 15+8 pts

Find the LCM and HCF of the following pairs of integers and verify that LCM x HCF = product of the integers:

(i)26 and 91

(ii)510 and 92

(iii)336 and 54

by BrainlyHelper 17.11.2018

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nikitasingh79

Nikitasingh79★ Brainly Teacher ★

SOLUTION :

(i) Given :First number : 26

Second number : 91

The prime factors of 26 and 91 are :

26 = 2 x 13

91= 7 x 13

L.C.M (26,91) = 2 x 7 x 13

L.C.M of (26, 91) =182

[LCM of two or more numbers = product of the greatest power of each prime factor involved in the numbers, with highest power.]

H.C.F of (26, 91) = 13

[HCF(Highest Common Factor) of two or more numbers= Product of the smallest Power of each common prime factor involved in the numbers.]

We know that, L.C.M x H.C.F = First number x Second number

182 x 13 = 26 x 91

2366 = 2366

Hence verified

by this process you can simplify...

Answered by supriths4804
2

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