Least Common Multiple of 9221/740, 6976/1913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9221/740, 6976/1913 quickly i.e. 64325696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9221/740, 6976/1913 is 64325696.

LCM(9221/740, 6976/1913) = 64325696

LCM of 9221/740, 6976/1913

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 9221/740,6976/1913

Given numbers are 9221/740,6976/1913

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 9221,6976

Least Common Multiple of Numerators i.e. LCM of 9221,6976 is 64325696.

GCF of Denominators means GCF of 740,1913 as per the given fractions.

GCF of 740,1913 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9221,6976

LCM of Fractions 9221/740,6976/1913 is 64325696

Given numbers has no common factors except 1. So, there LCM is their product i.e 64325696

Least Common Multiple of 9221,6976 with GCF Formula

Least Common Multiple of 9221,6976 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 9221,6976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9221,6976) = 1

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

GCF(9221,6976) x common factors =1 x 1 = 1

LCM(9221,6976) = ( 9221 × 6976 ) / 1

LCM(9221,6976) = 64325696 / 1

LCM(9221,6976) = 64325696


Lets's calculate GCF of 740,1913

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64325696/1

Therefore the LCM of Fractions 9221/740,6976/1913 is 64325696

Greatest Common Factor of 740,1913 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,1913 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 1913

List of positive integer factors of 1913 that divides 1913 without a remainder.

1,1913

Greatest Common Factor

We found the factors 740,1913 . The biggest common factor number is the GCF number.
So the greatest common factor 740,1913 is 1.


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 9221/740, 6976/1913

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 9221/740, 6976/1913?

Answer: LCM of Numerators as per given numbers 9221/740, 6976/1913 is

LCM of Numerators i.e. for 9221,6976 is 64325696

GCF of denominators i.e. for 740,1913 is 1.

Thus, LCM of Fractions is 64325696.Finally, LCM of Fractions for 9221/740, 6976/1913 is 64325696.