Least Common Multiple of 95/31, 37/91, 89/10, 42/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/31, 37/91, 89/10, 42/313 quickly i.e. 13139070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/31, 37/91, 89/10, 42/313 is 13139070.

LCM(95/31, 37/91, 89/10, 42/313) = 13139070

LCM of 95/31, 37/91, 89/10, 42/313

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 95/31,37/91,89/10,42/313

Given numbers are 95/31,37/91,89/10,42/313

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 95,37,89,42

Least Common Multiple of Numerators i.e. LCM of 95,37,89,42 is 13139070.

GCF of Denominators means GCF of 31,91,10,313 as per the given fractions.

GCF of 31,91,10,313 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,37,89,42

LCM of Fractions 95/31,37/91,89/10,42/313 is 13139070

Given numbers has no common factors except 1. So, there LCM is their product i.e 13139070

Least Common Multiple of 95,37,89,42 with GCF Formula

Least Common Multiple of 95,37,89,42 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 95,37,89,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,37,89,42) = 1

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

GCF(95,37,89,42) x common factors =1 x 1 = 1

LCM(95,37,89,42) = ( 95 × 37 × 89 × 42 ) / 1

LCM(95,37,89,42) = 13139070 / 1

LCM(95,37,89,42) = 13139070


Lets's calculate GCF of 31,91,10,313

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13139070/1

Therefore the LCM of Fractions 95/31,37/91,89/10,42/313 is 13139070

Greatest Common Factor of 31,91,10,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,91,10,313 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 31,91,10,313 . The biggest common factor number is the GCF number.
So the greatest common factor 31,91,10,313 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 95/31, 37/91, 89/10, 42/313

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 95/31, 37/91, 89/10, 42/313?

Answer: LCM of Numerators as per given numbers 95/31, 37/91, 89/10, 42/313 is

LCM of Numerators i.e. for 95,37,89,42 is 13139070

GCF of denominators i.e. for 31,91,10,313 is 1.

Thus, LCM of Fractions is 13139070.Finally, LCM of Fractions for 95/31, 37/91, 89/10, 42/313 is 13139070.