Least Common Multiple of 37/56, 43/516, 618/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/56, 43/516, 618/826 quickly i.e. 491619 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/56, 43/516, 618/826 is 491619.

LCM(37/56, 43/516, 618/826) = 491619

LCM of 37/56, 43/516, 618/826

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 37/56,43/516,618/826

Given numbers are 37/56,43/516,618/826

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 37,43,618

Least Common Multiple of Numerators i.e. LCM of 37,43,618 is 983238.

GCF of Denominators means GCF of 56,516,826 as per the given fractions.

GCF of 56,516,826 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,43,618

LCM of Fractions 37/56,43/516,618/826 is 491619

Given numbers has no common factors except 1. So, there LCM is their product i.e 983238

Least Common Multiple of 37,43,618 with GCF Formula

Least Common Multiple of 37,43,618 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 37,43,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,43,618) = 1

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

GCF(37,43,618) x common factors =1 x 1 = 1

LCM(37,43,618) = ( 37 × 43 × 618 ) / 1

LCM(37,43,618) = 983238 / 1

LCM(37,43,618) = 983238


Lets's calculate GCF of 56,516,826

2 56, 516, 826
28, 258, 413

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 983238/2

Therefore the LCM of Fractions 37/56,43/516,618/826 is 491619

Greatest Common Factor of 56,516,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,516,826 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 56,516,826 . The biggest common factor number is the GCF number.
So the greatest common factor 56,516,826 is 2.


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 37/56, 43/516, 618/826

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 37/56, 43/516, 618/826?

Answer: LCM of Numerators as per given numbers 37/56, 43/516, 618/826 is

LCM of Numerators i.e. for 37,43,618 is 983238

GCF of denominators i.e. for 56,516,826 is 2.

Thus, LCM of Fractions is 491619.Finally, LCM of Fractions for 37/56, 43/516, 618/826 is 491619.