Least Common Multiple of 43/31, 56/76, 37/70, 87/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/31, 56/76, 37/70, 87/314 quickly i.e. 7751352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/31, 56/76, 37/70, 87/314 is 7751352.

LCM(43/31, 56/76, 37/70, 87/314) = 7751352

LCM of 43/31, 56/76, 37/70, 87/314

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 43/31,56/76,37/70,87/314

Given numbers are 43/31,56/76,37/70,87/314

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 43,56,37,87

Least Common Multiple of Numerators i.e. LCM of 43,56,37,87 is 7751352.

GCF of Denominators means GCF of 31,76,70,314 as per the given fractions.

GCF of 31,76,70,314 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,56,37,87

LCM of Fractions 43/31,56/76,37/70,87/314 is 7751352

Given numbers has no common factors except 1. So, there LCM is their product i.e 7751352

Least Common Multiple of 43,56,37,87 with GCF Formula

Least Common Multiple of 43,56,37,87 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 43,56,37,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,56,37,87) = 1

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

GCF(43,56,37,87) x common factors =1 x 1 = 1

LCM(43,56,37,87) = ( 43 × 56 × 37 × 87 ) / 1

LCM(43,56,37,87) = 7751352 / 1

LCM(43,56,37,87) = 7751352


Lets's calculate GCF of 31,76,70,314

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7751352/1

Therefore the LCM of Fractions 43/31,56/76,37/70,87/314 is 7751352

Greatest Common Factor of 31,76,70,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,76,70,314 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 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 31,76,70,314 . The biggest common factor number is the GCF number.
So the greatest common factor 31,76,70,314 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 43/31, 56/76, 37/70, 87/314

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 43/31, 56/76, 37/70, 87/314?

Answer: LCM of Numerators as per given numbers 43/31, 56/76, 37/70, 87/314 is

LCM of Numerators i.e. for 43,56,37,87 is 7751352

GCF of denominators i.e. for 31,76,70,314 is 1.

Thus, LCM of Fractions is 7751352.Finally, LCM of Fractions for 43/31, 56/76, 37/70, 87/314 is 7751352.