Least Common Multiple of 290/131, 650/244, 869/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 290/131, 650/244, 869/980 quickly i.e. 16380650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 290/131, 650/244, 869/980 is 16380650.

LCM(290/131, 650/244, 869/980) = 16380650

LCM of 290/131, 650/244, 869/980

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 290/131,650/244,869/980

Given numbers are 290/131,650/244,869/980

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 290,650,869

Least Common Multiple of Numerators i.e. LCM of 290,650,869 is 16380650.

GCF of Denominators means GCF of 131,244,980 as per the given fractions.

GCF of 131,244,980 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 290,650,869

LCM of Fractions 290/131,650/244,869/980 is 16380650

2 290, 650, 869
5 145, 325, 869
29, 65, 869

∴ So the LCM of the given numbers is 2 x 5 x 29 x 65 x 869 = 16380650

Least Common Multiple of 290,650,869 with GCF Formula

Least Common Multiple of 290,650,869 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 290,650,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,650,869) = 1

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

GCF(290,650,869) x common factors =1 x 10 = 10

LCM(290,650,869) = ( 290 × 650 × 869 ) / 10

LCM(290,650,869) = 163806500 / 10

LCM(290,650,869) = 16380650


Lets's calculate GCF of 131,244,980

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16380650/1

Therefore the LCM of Fractions 290/131,650/244,869/980 is 16380650

Greatest Common Factor of 131,244,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 131,244,980 By Matching Biggest Common Factor Method

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 131,244,980 . The biggest common factor number is the GCF number.
So the greatest common factor 131,244,980 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 290/131, 650/244, 869/980

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 290/131, 650/244, 869/980?

Answer: LCM of Numerators as per given numbers 290/131, 650/244, 869/980 is

LCM of Numerators i.e. for 290,650,869 is 16380650

GCF of denominators i.e. for 131,244,980 is 1.

Thus, LCM of Fractions is 16380650.Finally, LCM of Fractions for 290/131, 650/244, 869/980 is 16380650.