Least Common Multiple of 95/60, 32/96, 31/14, 52/751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/60, 32/96, 31/14, 52/751 quickly i.e. 1225120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/60, 32/96, 31/14, 52/751 is 1225120.

LCM(95/60, 32/96, 31/14, 52/751) = 1225120

LCM of 95/60, 32/96, 31/14, 52/751

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 95/60,32/96,31/14,52/751

Given numbers are 95/60,32/96,31/14,52/751

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 95,32,31,52

Least Common Multiple of Numerators i.e. LCM of 95,32,31,52 is 1225120.

GCF of Denominators means GCF of 60,96,14,751 as per the given fractions.

GCF of 60,96,14,751 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,32,31,52

LCM of Fractions 95/60,32/96,31/14,52/751 is 1225120

2 95, 32, 31, 52
2 95, 16, 31, 26
95, 8, 31, 13

∴ So the LCM of the given numbers is 2 x 2 x 95 x 8 x 31 x 13 = 1225120

Least Common Multiple of 95,32,31,52 with GCF Formula

Least Common Multiple of 95,32,31,52 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 95,32,31,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,32,31,52) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(95,32,31,52) x common factors =1 x 4 = 4

LCM(95,32,31,52) = ( 95 × 32 × 31 × 52 ) / 4

LCM(95,32,31,52) = 4900480 / 4

LCM(95,32,31,52) = 1225120


Lets's calculate GCF of 60,96,14,751

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1225120/1

Therefore the LCM of Fractions 95/60,32/96,31/14,52/751 is 1225120

Greatest Common Factor of 60,96,14,751 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,96,14,751 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

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 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Greatest Common Factor

We found the factors 60,96,14,751 . The biggest common factor number is the GCF number.
So the greatest common factor 60,96,14,751 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 95/60, 32/96, 31/14, 52/751

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 95/60, 32/96, 31/14, 52/751?

Answer: LCM of Numerators as per given numbers 95/60, 32/96, 31/14, 52/751 is

LCM of Numerators i.e. for 95,32,31,52 is 1225120

GCF of denominators i.e. for 60,96,14,751 is 1.

Thus, LCM of Fractions is 1225120.Finally, LCM of Fractions for 95/60, 32/96, 31/14, 52/751 is 1225120.