Question

The Lcm Of Two Numbers Is 182 And Their Hcf Is 13 If One Of The Number Is 26 Find The Other

Answer 1

Answer:

Next number is 91

Step-by-step explanation:

LCM=182

HCF=13

1st Number =26

Lcm×Hcf=Product of two numbers

Then

The next number= (182×13)÷26

=91

Answer 2

Given: The LCM of two numbers is 182 and HCF of these two numbers is 13. One of the numbers is 26.

To find: The other number

Solution: Let the other number be a.

LCM of the numbers= 182

HCF of the numbers= 13

The given number = 26

Product of HCF and LCM of the two numbers

= 182 × 13

= 2366

The formula used for finding the other number when the product of HCF and LCM and one of the numbers is known is:

Product of HCF and LCM = Product of the numbers

=> 2366 = 26 × a

=> a = 2366/26

=> a = 91

Therefore, the other number is 91.