Least Common Multiple of 5976/640, 2750/482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5976/640, 2750/482 quickly i.e. 4108500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5976/640, 2750/482 is 4108500.

LCM(5976/640, 2750/482) = 4108500

LCM of 5976/640, 2750/482

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 5976/640,2750/482

Given numbers are 5976/640,2750/482

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 5976,2750

Least Common Multiple of Numerators i.e. LCM of 5976,2750 is 8217000.

GCF of Denominators means GCF of 640,482 as per the given fractions.

GCF of 640,482 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5976,2750

LCM of Fractions 5976/640,2750/482 is 4108500

2 5976, 2750
2988, 1375

∴ So the LCM of the given numbers is 2 x 2988 x 1375 = 8217000

Least Common Multiple of 5976,2750 with GCF Formula

Least Common Multiple of 5976,2750 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 5976,2750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5976,2750) = 2

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

GCF(5976,2750) x common factors =2 x 1 = 2

LCM(5976,2750) = ( 5976 × 2750 ) / 2

LCM(5976,2750) = 16434000 / 2

LCM(5976,2750) = 8217000


Lets's calculate GCF of 640,482

2 640, 482
320, 241

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8217000/2

Therefore the LCM of Fractions 5976/640,2750/482 is 4108500

Greatest Common Factor of 640,482 By Matching Biggest Common Factor Method

Greatest Common Factor of 640,482 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 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Greatest Common Factor

We found the factors 640,482 . The biggest common factor number is the GCF number.
So the greatest common factor 640,482 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 5976/640, 2750/482

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 5976/640, 2750/482?

Answer: LCM of Numerators as per given numbers 5976/640, 2750/482 is

LCM of Numerators i.e. for 5976,2750 is 8217000

GCF of denominators i.e. for 640,482 is 2.

Thus, LCM of Fractions is 4108500.Finally, LCM of Fractions for 5976/640, 2750/482 is 4108500.