Least Common Multiple of 472/694, 107/268, 940/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 472/694, 107/268, 940/618 quickly i.e. 5934220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 472/694, 107/268, 940/618 is 5934220.

LCM(472/694, 107/268, 940/618) = 5934220

LCM of 472/694, 107/268, 940/618

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 472/694,107/268,940/618

Given numbers are 472/694,107/268,940/618

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 472,107,940

Least Common Multiple of Numerators i.e. LCM of 472,107,940 is 11868440.

GCF of Denominators means GCF of 694,268,618 as per the given fractions.

GCF of 694,268,618 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 472,107,940

LCM of Fractions 472/694,107/268,940/618 is 5934220

2 472, 107, 940
2 236, 107, 470
118, 107, 235

∴ So the LCM of the given numbers is 2 x 2 x 118 x 107 x 235 = 11868440

Least Common Multiple of 472,107,940 with GCF Formula

Least Common Multiple of 472,107,940 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 472,107,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,107,940) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(472,107,940) x common factors =1 x 4 = 4

LCM(472,107,940) = ( 472 × 107 × 940 ) / 4

LCM(472,107,940) = 47473760 / 4

LCM(472,107,940) = 11868440


Lets's calculate GCF of 694,268,618

2 694, 268, 618
347, 134, 309

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11868440/2

Therefore the LCM of Fractions 472/694,107/268,940/618 is 5934220

Greatest Common Factor of 694,268,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,268,618 By Matching Biggest Common Factor Method

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 694,268,618 . The biggest common factor number is the GCF number.
So the greatest common factor 694,268,618 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 472/694, 107/268, 940/618

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 472/694, 107/268, 940/618?

Answer: LCM of Numerators as per given numbers 472/694, 107/268, 940/618 is

LCM of Numerators i.e. for 472,107,940 is 11868440

GCF of denominators i.e. for 694,268,618 is 2.

Thus, LCM of Fractions is 5934220.Finally, LCM of Fractions for 472/694, 107/268, 940/618 is 5934220.