Least Common Multiple of 6975/640, 2421/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6975/640, 2421/440 quickly i.e. 1876275/40 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6975/640, 2421/440 is 1876275/40.

LCM(6975/640, 2421/440) = 1876275/40

LCM of 6975/640, 2421/440

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 6975/640,2421/440

Given numbers are 6975/640,2421/440

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 6975,2421

Least Common Multiple of Numerators i.e. LCM of 6975,2421 is 1876275.

GCF of Denominators means GCF of 640,440 as per the given fractions.

GCF of 640,440 is 40 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6975,2421

LCM of Fractions 6975/640,2421/440 is 1876275/40

3 6975, 2421
3 2325, 807
775, 269

∴ So the LCM of the given numbers is 3 x 3 x 775 x 269 = 1876275

Least Common Multiple of 6975,2421 with GCF Formula

Least Common Multiple of 6975,2421 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 6975,2421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6975,2421) = 9

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

GCF(6975,2421) x common factors =9 x 1 = 9

LCM(6975,2421) = ( 6975 × 2421 ) / 9

LCM(6975,2421) = 16886475 / 9

LCM(6975,2421) = 1876275


Lets's calculate GCF of 640,440

2 640, 440
2 320, 220
2 160, 110
5 80, 55
16, 11

∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1876275/40

Therefore the LCM of Fractions 6975/640,2421/440 is 1876275/40

Greatest Common Factor of 640,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 640,440 By Matching Biggest Common Factor Method

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 640,440 . The biggest common factor number is the GCF number.
So the greatest common factor 640,440 is 40.


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 6975/640, 2421/440

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 6975/640, 2421/440?

Answer: LCM of Numerators as per given numbers 6975/640, 2421/440 is

LCM of Numerators i.e. for 6975,2421 is 1876275

GCF of denominators i.e. for 640,440 is 40.

Thus, LCM of Fractions is 1876275/40.Finally, LCM of Fractions for 6975/640, 2421/440 is 1876275/40.