Least Common Multiple of 7292/364, 7227/1962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7292/364, 7227/1962 quickly i.e. 26349642 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7292/364, 7227/1962 is 26349642.

LCM(7292/364, 7227/1962) = 26349642

LCM of 7292/364, 7227/1962

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 7292/364,7227/1962

Given numbers are 7292/364,7227/1962

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 7292,7227

Least Common Multiple of Numerators i.e. LCM of 7292,7227 is 52699284.

GCF of Denominators means GCF of 364,1962 as per the given fractions.

GCF of 364,1962 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7292,7227

LCM of Fractions 7292/364,7227/1962 is 26349642

Given numbers has no common factors except 1. So, there LCM is their product i.e 52699284

Least Common Multiple of 7292,7227 with GCF Formula

Least Common Multiple of 7292,7227 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 7292,7227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7292,7227) = 1

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

GCF(7292,7227) x common factors =1 x 1 = 1

LCM(7292,7227) = ( 7292 × 7227 ) / 1

LCM(7292,7227) = 52699284 / 1

LCM(7292,7227) = 52699284


Lets's calculate GCF of 364,1962

2 364, 1962
182, 981

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52699284/2

Therefore the LCM of Fractions 7292/364,7227/1962 is 26349642

Greatest Common Factor of 364,1962 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,1962 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 1962

List of positive integer factors of 1962 that divides 1962 without a remainder.

1,2,3,6,9,18,109,218,327,654,981,1962

Greatest Common Factor

We found the factors 364,1962 . The biggest common factor number is the GCF number.
So the greatest common factor 364,1962 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 7292/364, 7227/1962

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 7292/364, 7227/1962?

Answer: LCM of Numerators as per given numbers 7292/364, 7227/1962 is

LCM of Numerators i.e. for 7292,7227 is 52699284

GCF of denominators i.e. for 364,1962 is 2.

Thus, LCM of Fractions is 26349642.Finally, LCM of Fractions for 7292/364, 7227/1962 is 26349642.