Least Common Multiple of 781/37, 390/24, 747/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 781/37, 390/24, 747/832 quickly i.e. 75842910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 781/37, 390/24, 747/832 is 75842910.

LCM(781/37, 390/24, 747/832) = 75842910

LCM of 781/37, 390/24, 747/832

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 781/37,390/24,747/832

Given numbers are 781/37,390/24,747/832

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 781,390,747

Least Common Multiple of Numerators i.e. LCM of 781,390,747 is 75842910.

GCF of Denominators means GCF of 37,24,832 as per the given fractions.

GCF of 37,24,832 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 781,390,747

LCM of Fractions 781/37,390/24,747/832 is 75842910

3 781, 390, 747
781, 130, 249

∴ So the LCM of the given numbers is 3 x 781 x 130 x 249 = 75842910

Least Common Multiple of 781,390,747 with GCF Formula

Least Common Multiple of 781,390,747 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 781,390,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(781,390,747) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(781,390,747) x common factors =1 x 3 = 3

LCM(781,390,747) = ( 781 × 390 × 747 ) / 3

LCM(781,390,747) = 227528730 / 3

LCM(781,390,747) = 75842910


Lets's calculate GCF of 37,24,832

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75842910/1

Therefore the LCM of Fractions 781/37,390/24,747/832 is 75842910

Greatest Common Factor of 37,24,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,24,832 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 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 37,24,832 . The biggest common factor number is the GCF number.
So the greatest common factor 37,24,832 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 781/37, 390/24, 747/832

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 781/37, 390/24, 747/832?

Answer: LCM of Numerators as per given numbers 781/37, 390/24, 747/832 is

LCM of Numerators i.e. for 781,390,747 is 75842910

GCF of denominators i.e. for 37,24,832 is 1.

Thus, LCM of Fractions is 75842910.Finally, LCM of Fractions for 781/37, 390/24, 747/832 is 75842910.