Least Common Multiple of 763/562, 831/792, 324/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 763/562, 831/792, 324/962 quickly i.e. 34238862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 763/562, 831/792, 324/962 is 34238862.

LCM(763/562, 831/792, 324/962) = 34238862

LCM of 763/562, 831/792, 324/962

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 763/562,831/792,324/962

Given numbers are 763/562,831/792,324/962

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 763,831,324

Least Common Multiple of Numerators i.e. LCM of 763,831,324 is 68477724.

GCF of Denominators means GCF of 562,792,962 as per the given fractions.

GCF of 562,792,962 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 763,831,324

LCM of Fractions 763/562,831/792,324/962 is 34238862

3 763, 831, 324
763, 277, 108

∴ So the LCM of the given numbers is 3 x 763 x 277 x 108 = 68477724

Least Common Multiple of 763,831,324 with GCF Formula

Least Common Multiple of 763,831,324 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 763,831,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(763,831,324) = 1

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

GCF(763,831,324) x common factors =1 x 3 = 3

LCM(763,831,324) = ( 763 × 831 × 324 ) / 3

LCM(763,831,324) = 205433172 / 3

LCM(763,831,324) = 68477724


Lets's calculate GCF of 562,792,962

2 562, 792, 962
281, 396, 481

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68477724/2

Therefore the LCM of Fractions 763/562,831/792,324/962 is 34238862

Greatest Common Factor of 562,792,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,792,962 By Matching Biggest Common Factor Method

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 562,792,962 . The biggest common factor number is the GCF number.
So the greatest common factor 562,792,962 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 763/562, 831/792, 324/962

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 763/562, 831/792, 324/962?

Answer: LCM of Numerators as per given numbers 763/562, 831/792, 324/962 is

LCM of Numerators i.e. for 763,831,324 is 68477724

GCF of denominators i.e. for 562,792,962 is 2.

Thus, LCM of Fractions is 34238862.Finally, LCM of Fractions for 763/562, 831/792, 324/962 is 34238862.