Question

find the LCm and hcf of the folloming pairs of integers and verify that LCM ×HCF = products of the numbers 26 and 91​

Answer 1

Answer:

hcf=13,lcm=182

verify

13*182=26*91

2366=2366

verified

Answer 2

Question:

• find the LCM and HCF of the folloming pairs of integers and verify that LCM × HCF = products of the numbers 26 and 91.

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AnswEr:

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★ Prime factor of 26 and 91 -

• Prime factor of 26 = 2 × 13
• Prime factor of 91 = 7 × 13

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★ LCM of 26 and 91 -

➟ 2 × 7 × 13 = 182

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★ HCF of 26 and 91 -

➟ 13

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Verification:

We have to verify,

LCM × HCF = Product of numbers

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• LCM × HCF = 182 × 13 = 2366
• Product of numbers = 26 × 91 = 182 × 13 = 2366

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$\therefore$ Hence, Verified!

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Additional Information:

• HCF (Highest common factor) = Highest factor present between two numbers.

• LCM (least common multiple) = Least number which is exactly divisible by two or more numbers.