Least Common Multiple of 11/242, 8700/7658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/242, 8700/7658 quickly i.e. 47850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/242, 8700/7658 is 47850.

LCM(11/242, 8700/7658) = 47850

LCM of 11/242, 8700/7658

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 11/242,8700/7658

Given numbers are 11/242,8700/7658

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 11,8700

Least Common Multiple of Numerators i.e. LCM of 11,8700 is 95700.

GCF of Denominators means GCF of 242,7658 as per the given fractions.

GCF of 242,7658 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,8700

LCM of Fractions 11/242,8700/7658 is 47850

Given numbers has no common factors except 1. So, there LCM is their product i.e 95700

Least Common Multiple of 11,8700 with GCF Formula

Least Common Multiple of 11,8700 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 11,8700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,8700) = 1

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

GCF(11,8700) x common factors =1 x 1 = 1

LCM(11,8700) = ( 11 × 8700 ) / 1

LCM(11,8700) = 95700 / 1

LCM(11,8700) = 95700


Lets's calculate GCF of 242,7658

2 242, 7658
121, 3829

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95700/2

Therefore the LCM of Fractions 11/242,8700/7658 is 47850

Greatest Common Factor of 242,7658 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,7658 By Matching Biggest Common Factor Method

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 7658

List of positive integer factors of 7658 that divides 7658 without a remainder.

1,2,7,14,547,1094,3829,7658

Greatest Common Factor

We found the factors 242,7658 . The biggest common factor number is the GCF number.
So the greatest common factor 242,7658 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 11/242, 8700/7658

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 11/242, 8700/7658?

Answer: LCM of Numerators as per given numbers 11/242, 8700/7658 is

LCM of Numerators i.e. for 11,8700 is 95700

GCF of denominators i.e. for 242,7658 is 2.

Thus, LCM of Fractions is 47850.Finally, LCM of Fractions for 11/242, 8700/7658 is 47850.