Least Common Multiple of 635/968, 516/378, 723/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 635/968, 516/378, 723/692 quickly i.e. 39483030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 635/968, 516/378, 723/692 is 39483030.

LCM(635/968, 516/378, 723/692) = 39483030

LCM of 635/968, 516/378, 723/692

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 635/968,516/378,723/692

Given numbers are 635/968,516/378,723/692

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 635,516,723

Least Common Multiple of Numerators i.e. LCM of 635,516,723 is 78966060.

GCF of Denominators means GCF of 968,378,692 as per the given fractions.

GCF of 968,378,692 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 635,516,723

LCM of Fractions 635/968,516/378,723/692 is 39483030

3 635, 516, 723
635, 172, 241

∴ So the LCM of the given numbers is 3 x 635 x 172 x 241 = 78966060

Least Common Multiple of 635,516,723 with GCF Formula

Least Common Multiple of 635,516,723 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 635,516,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(635,516,723) = 1

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

GCF(635,516,723) x common factors =1 x 3 = 3

LCM(635,516,723) = ( 635 × 516 × 723 ) / 3

LCM(635,516,723) = 236898180 / 3

LCM(635,516,723) = 78966060


Lets's calculate GCF of 968,378,692

2 968, 378, 692
484, 189, 346

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78966060/2

Therefore the LCM of Fractions 635/968,516/378,723/692 is 39483030

Greatest Common Factor of 968,378,692 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,378,692 By Matching Biggest Common Factor Method

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Greatest Common Factor

We found the factors 968,378,692 . The biggest common factor number is the GCF number.
So the greatest common factor 968,378,692 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 635/968, 516/378, 723/692

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 635/968, 516/378, 723/692?

Answer: LCM of Numerators as per given numbers 635/968, 516/378, 723/692 is

LCM of Numerators i.e. for 635,516,723 is 78966060

GCF of denominators i.e. for 968,378,692 is 2.

Thus, LCM of Fractions is 39483030.Finally, LCM of Fractions for 635/968, 516/378, 723/692 is 39483030.