Question

if the HCF of 52 and 182 is 26 then their LCM is​

Answer 1

Answer:

52x182=26xLCM

9464=26XLCM

9464/26 =lcm

lcm= 364

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Answer 2

LCM(52, 182) = 364

Given:

HCF of 52 and 182 is 26

To find:

Find LCM of 52 and 182

Solution:

Note:

If a, b are two positive numbers then the product of LCM and HCF of ab will be equals to product of a and b

⇒ LCM(a, b) × HCF (a, b) = Product of ab  

From given data HCF (52, 182) = 26

Let X be the LCM(52, 182)

⇒ LCM(52, 182) × HCF (52, 182)  = 52 × 182

⇒  26 × X = 9464

⇒  X = 364

Therefore, LCM(52, 182) = 364

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