Least Common Multiple of 274/891, 4789/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 274/891, 4789/242 quickly i.e. 1312186/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 274/891, 4789/242 is 1312186/11.

LCM(274/891, 4789/242) = 1312186/11

LCM of 274/891, 4789/242

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 274/891,4789/242

Given numbers are 274/891,4789/242

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 274,4789

Least Common Multiple of Numerators i.e. LCM of 274,4789 is 1312186.

GCF of Denominators means GCF of 891,242 as per the given fractions.

GCF of 891,242 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 274,4789

LCM of Fractions 274/891,4789/242 is 1312186/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 1312186

Least Common Multiple of 274,4789 with GCF Formula

Least Common Multiple of 274,4789 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 274,4789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,4789) = 1

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

GCF(274,4789) x common factors =1 x 1 = 1

LCM(274,4789) = ( 274 × 4789 ) / 1

LCM(274,4789) = 1312186 / 1

LCM(274,4789) = 1312186


Lets's calculate GCF of 891,242

11 891, 242
81, 22

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1312186/11

Therefore the LCM of Fractions 274/891,4789/242 is 1312186/11

Greatest Common Factor of 891,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 891,242 By Matching Biggest Common Factor Method

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 242

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

1,2,11,22,121,242

Greatest Common Factor

We found the factors 891,242 . The biggest common factor number is the GCF number.
So the greatest common factor 891,242 is 11.


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 274/891, 4789/242

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 274/891, 4789/242?

Answer: LCM of Numerators as per given numbers 274/891, 4789/242 is

LCM of Numerators i.e. for 274,4789 is 1312186

GCF of denominators i.e. for 891,242 is 11.

Thus, LCM of Fractions is 1312186/11.Finally, LCM of Fractions for 274/891, 4789/242 is 1312186/11.