Least Common Multiple of 980/83, 634/37, 830/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 980/83, 634/37, 830/272 quickly i.e. 25784780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 980/83, 634/37, 830/272 is 25784780.

LCM(980/83, 634/37, 830/272) = 25784780

LCM of 980/83, 634/37, 830/272

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 980/83,634/37,830/272

Given numbers are 980/83,634/37,830/272

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 980,634,830

Least Common Multiple of Numerators i.e. LCM of 980,634,830 is 25784780.

GCF of Denominators means GCF of 83,37,272 as per the given fractions.

GCF of 83,37,272 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 980,634,830

LCM of Fractions 980/83,634/37,830/272 is 25784780

2 980, 634, 830
5 490, 317, 415
98, 317, 83

∴ So the LCM of the given numbers is 2 x 5 x 98 x 317 x 83 = 25784780

Least Common Multiple of 980,634,830 with GCF Formula

Least Common Multiple of 980,634,830 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 980,634,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,634,830) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(980,634,830) x common factors =2 x 10 = 20

LCM(980,634,830) = ( 980 × 634 × 830 ) / 20

LCM(980,634,830) = 515695600 / 20

LCM(980,634,830) = 25784780


Lets's calculate GCF of 83,37,272

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25784780/1

Therefore the LCM of Fractions 980/83,634/37,830/272 is 25784780

Greatest Common Factor of 83,37,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,37,272 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 83,37,272 . The biggest common factor number is the GCF number.
So the greatest common factor 83,37,272 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 980/83, 634/37, 830/272

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 980/83, 634/37, 830/272?

Answer: LCM of Numerators as per given numbers 980/83, 634/37, 830/272 is

LCM of Numerators i.e. for 980,634,830 is 25784780

GCF of denominators i.e. for 83,37,272 is 1.

Thus, LCM of Fractions is 25784780.Finally, LCM of Fractions for 980/83, 634/37, 830/272 is 25784780.