Least Common Multiple of 1256/37, 5432/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1256/37, 5432/870 quickly i.e. 852824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1256/37, 5432/870 is 852824.

LCM(1256/37, 5432/870) = 852824

LCM of 1256/37, 5432/870

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 1256/37,5432/870

Given numbers are 1256/37,5432/870

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 1256,5432

Least Common Multiple of Numerators i.e. LCM of 1256,5432 is 852824.

GCF of Denominators means GCF of 37,870 as per the given fractions.

GCF of 37,870 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1256,5432

LCM of Fractions 1256/37,5432/870 is 852824

2 1256, 5432
2 628, 2716
2 314, 1358
157, 679

∴ So the LCM of the given numbers is 2 x 2 x 2 x 157 x 679 = 852824

Least Common Multiple of 1256,5432 with GCF Formula

Least Common Multiple of 1256,5432 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 1256,5432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1256,5432) = 8

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

GCF(1256,5432) x common factors =8 x 1 = 8

LCM(1256,5432) = ( 1256 × 5432 ) / 8

LCM(1256,5432) = 6822592 / 8

LCM(1256,5432) = 852824


Lets's calculate GCF of 37,870

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 852824/1

Therefore the LCM of Fractions 1256/37,5432/870 is 852824

Greatest Common Factor of 37,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,870 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 37,870 . The biggest common factor number is the GCF number.
So the greatest common factor 37,870 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 1256/37, 5432/870

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 1256/37, 5432/870?

Answer: LCM of Numerators as per given numbers 1256/37, 5432/870 is

LCM of Numerators i.e. for 1256,5432 is 852824

GCF of denominators i.e. for 37,870 is 1.

Thus, LCM of Fractions is 852824.Finally, LCM of Fractions for 1256/37, 5432/870 is 852824.