Least Common Multiple of 980/904, 5210/5976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 980/904, 5210/5976 quickly i.e. 510580/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 980/904, 5210/5976 is 510580/8.

LCM(980/904, 5210/5976) = 510580/8

LCM of 980/904, 5210/5976

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 980/904,5210/5976

Given numbers are 980/904,5210/5976

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 980,5210

Least Common Multiple of Numerators i.e. LCM of 980,5210 is 510580.

GCF of Denominators means GCF of 904,5976 as per the given fractions.

GCF of 904,5976 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 980,5210

LCM of Fractions 980/904,5210/5976 is 510580/8

2 980, 5210
5 490, 2605
98, 521

∴ So the LCM of the given numbers is 2 x 5 x 98 x 521 = 510580

Least Common Multiple of 980,5210 with GCF Formula

Least Common Multiple of 980,5210 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 980,5210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,5210) = 10

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

GCF(980,5210) x common factors =10 x 1 = 10

LCM(980,5210) = ( 980 × 5210 ) / 10

LCM(980,5210) = 5105800 / 10

LCM(980,5210) = 510580


Lets's calculate GCF of 904,5976

2 904, 5976
2 452, 2988
2 226, 1494
113, 747

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 510580/8

Therefore the LCM of Fractions 980/904,5210/5976 is 510580/8

Greatest Common Factor of 904,5976 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,5976 By Matching Biggest Common Factor Method

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 5976

List of positive integer factors of 5976 that divides 5976 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,83,166,249,332,498,664,747,996,1494,1992,2988,5976

Greatest Common Factor

We found the factors 904,5976 . The biggest common factor number is the GCF number.
So the greatest common factor 904,5976 is 8.


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 980/904, 5210/5976

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 980/904, 5210/5976?

Answer: LCM of Numerators as per given numbers 980/904, 5210/5976 is

LCM of Numerators i.e. for 980,5210 is 510580

GCF of denominators i.e. for 904,5976 is 8.

Thus, LCM of Fractions is 510580/8.Finally, LCM of Fractions for 980/904, 5210/5976 is 510580/8.