Least Common Multiple of 131/16, 125/18, 917/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 131/16, 125/18, 917/980 quickly i.e. 114625/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 131/16, 125/18, 917/980 is 114625/2.

LCM(131/16, 125/18, 917/980) = 114625/2

LCM of 131/16, 125/18, 917/980

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 131/16,125/18,917/980

Given numbers are 131/16,125/18,917/980

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 131,125,917

Least Common Multiple of Numerators i.e. LCM of 131,125,917 is 114625.

GCF of Denominators means GCF of 16,18,980 as per the given fractions.

GCF of 16,18,980 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 131,125,917

LCM of Fractions 131/16,125/18,917/980 is 114625/2

131 131, 125, 917
1, 125, 7

∴ So the LCM of the given numbers is 131 x 1 x 125 x 7 = 114625

Least Common Multiple of 131,125,917 with GCF Formula

Least Common Multiple of 131,125,917 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 131,125,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(131,125,917) = 1

common factors(in case of two or more numbers have common factors) = 131

GCF(131,125,917) x common factors =1 x 131 = 131

LCM(131,125,917) = ( 131 × 125 × 917 ) / 131

LCM(131,125,917) = 15015875 / 131

LCM(131,125,917) = 114625


Lets's calculate GCF of 16,18,980

2 16, 18, 980
8, 9, 490

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114625/2

Therefore the LCM of Fractions 131/16,125/18,917/980 is 114625/2

Greatest Common Factor of 16,18,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,18,980 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

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 16,18,980 . The biggest common factor number is the GCF number.
So the greatest common factor 16,18,980 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 131/16, 125/18, 917/980

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 131/16, 125/18, 917/980?

Answer: LCM of Numerators as per given numbers 131/16, 125/18, 917/980 is

LCM of Numerators i.e. for 131,125,917 is 114625

GCF of denominators i.e. for 16,18,980 is 2.

Thus, LCM of Fractions is 114625/2.Finally, LCM of Fractions for 131/16, 125/18, 917/980 is 114625/2.