Least Common Multiple of 9162/102, 4912/7234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9162/102, 4912/7234 quickly i.e. 11250936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9162/102, 4912/7234 is 11250936.

LCM(9162/102, 4912/7234) = 11250936

LCM of 9162/102, 4912/7234

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 9162/102,4912/7234

Given numbers are 9162/102,4912/7234

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 9162,4912

Least Common Multiple of Numerators i.e. LCM of 9162,4912 is 22501872.

GCF of Denominators means GCF of 102,7234 as per the given fractions.

GCF of 102,7234 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9162,4912

LCM of Fractions 9162/102,4912/7234 is 11250936

2 9162, 4912
4581, 2456

∴ So the LCM of the given numbers is 2 x 4581 x 2456 = 22501872

Least Common Multiple of 9162,4912 with GCF Formula

Least Common Multiple of 9162,4912 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 9162,4912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9162,4912) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(9162,4912) x common factors =2 x 1 = 2

LCM(9162,4912) = ( 9162 × 4912 ) / 2

LCM(9162,4912) = 45003744 / 2

LCM(9162,4912) = 22501872


Lets's calculate GCF of 102,7234

2 102, 7234
51, 3617

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22501872/2

Therefore the LCM of Fractions 9162/102,4912/7234 is 11250936

Greatest Common Factor of 102,7234 By Matching Biggest Common Factor Method

Greatest Common Factor of 102,7234 By Matching Biggest Common Factor Method

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 7234

List of positive integer factors of 7234 that divides 7234 without a remainder.

1,2,3617,7234

Greatest Common Factor

We found the factors 102,7234 . The biggest common factor number is the GCF number.
So the greatest common factor 102,7234 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 9162/102, 4912/7234

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 9162/102, 4912/7234?

Answer: LCM of Numerators as per given numbers 9162/102, 4912/7234 is

LCM of Numerators i.e. for 9162,4912 is 22501872

GCF of denominators i.e. for 102,7234 is 2.

Thus, LCM of Fractions is 11250936.Finally, LCM of Fractions for 9162/102, 4912/7234 is 11250936.