Least Common Multiple of 640/203, 4560/376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 640/203, 4560/376 quickly i.e. 36480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 640/203, 4560/376 is 36480.

LCM(640/203, 4560/376) = 36480

LCM of 640/203, 4560/376

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 640/203,4560/376

Given numbers are 640/203,4560/376

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 640,4560

Least Common Multiple of Numerators i.e. LCM of 640,4560 is 36480.

GCF of Denominators means GCF of 203,376 as per the given fractions.

GCF of 203,376 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 640,4560

LCM of Fractions 640/203,4560/376 is 36480

2 640, 4560
2 320, 2280
2 160, 1140
2 80, 570
5 40, 285
8, 57

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 8 x 57 = 36480

Least Common Multiple of 640,4560 with GCF Formula

Least Common Multiple of 640,4560 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 640,4560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(640,4560) = 80

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

GCF(640,4560) x common factors =80 x 1 = 80

LCM(640,4560) = ( 640 × 4560 ) / 80

LCM(640,4560) = 2918400 / 80

LCM(640,4560) = 36480


Lets's calculate GCF of 203,376

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36480/1

Therefore the LCM of Fractions 640/203,4560/376 is 36480

Greatest Common Factor of 203,376 By Matching Biggest Common Factor Method

Greatest Common Factor of 203,376 By Matching Biggest Common Factor Method

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Greatest Common Factor

We found the factors 203,376 . The biggest common factor number is the GCF number.
So the greatest common factor 203,376 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 640/203, 4560/376

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 640/203, 4560/376?

Answer: LCM of Numerators as per given numbers 640/203, 4560/376 is

LCM of Numerators i.e. for 640,4560 is 36480

GCF of denominators i.e. for 203,376 is 1.

Thus, LCM of Fractions is 36480.Finally, LCM of Fractions for 640/203, 4560/376 is 36480.