Least Common Multiple of 31/96, 65/50, 114/559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/96, 65/50, 114/559 quickly i.e. 229710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/96, 65/50, 114/559 is 229710.

LCM(31/96, 65/50, 114/559) = 229710

LCM of 31/96, 65/50, 114/559

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 31/96,65/50,114/559

Given numbers are 31/96,65/50,114/559

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 31,65,114

Least Common Multiple of Numerators i.e. LCM of 31,65,114 is 229710.

GCF of Denominators means GCF of 96,50,559 as per the given fractions.

GCF of 96,50,559 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,65,114

LCM of Fractions 31/96,65/50,114/559 is 229710

Given numbers has no common factors except 1. So, there LCM is their product i.e 229710

Least Common Multiple of 31,65,114 with GCF Formula

Least Common Multiple of 31,65,114 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 31,65,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,65,114) = 1

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

GCF(31,65,114) x common factors =1 x 1 = 1

LCM(31,65,114) = ( 31 × 65 × 114 ) / 1

LCM(31,65,114) = 229710 / 1

LCM(31,65,114) = 229710


Lets's calculate GCF of 96,50,559

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 229710/1

Therefore the LCM of Fractions 31/96,65/50,114/559 is 229710

Greatest Common Factor of 96,50,559 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,50,559 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Greatest Common Factor

We found the factors 96,50,559 . The biggest common factor number is the GCF number.
So the greatest common factor 96,50,559 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 31/96, 65/50, 114/559

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 31/96, 65/50, 114/559?

Answer: LCM of Numerators as per given numbers 31/96, 65/50, 114/559 is

LCM of Numerators i.e. for 31,65,114 is 229710

GCF of denominators i.e. for 96,50,559 is 1.

Thus, LCM of Fractions is 229710.Finally, LCM of Fractions for 31/96, 65/50, 114/559 is 229710.