Least Common Multiple of 718/484, 836/230, 656/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 718/484, 836/230, 656/476 quickly i.e. 24610168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 718/484, 836/230, 656/476 is 24610168.

LCM(718/484, 836/230, 656/476) = 24610168

LCM of 718/484, 836/230, 656/476

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 718/484,836/230,656/476

Given numbers are 718/484,836/230,656/476

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 718,836,656

Least Common Multiple of Numerators i.e. LCM of 718,836,656 is 49220336.

GCF of Denominators means GCF of 484,230,476 as per the given fractions.

GCF of 484,230,476 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 718,836,656

LCM of Fractions 718/484,836/230,656/476 is 24610168

2 718, 836, 656
2 359, 418, 328
359, 209, 164

∴ So the LCM of the given numbers is 2 x 2 x 359 x 209 x 164 = 49220336

Least Common Multiple of 718,836,656 with GCF Formula

Least Common Multiple of 718,836,656 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 718,836,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(718,836,656) = 2

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

GCF(718,836,656) x common factors =2 x 4 = 8

LCM(718,836,656) = ( 718 × 836 × 656 ) / 8

LCM(718,836,656) = 393762688 / 8

LCM(718,836,656) = 49220336


Lets's calculate GCF of 484,230,476

2 484, 230, 476
242, 115, 238

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49220336/2

Therefore the LCM of Fractions 718/484,836/230,656/476 is 24610168

Greatest Common Factor of 484,230,476 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,230,476 By Matching Biggest Common Factor Method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Greatest Common Factor

We found the factors 484,230,476 . The biggest common factor number is the GCF number.
So the greatest common factor 484,230,476 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 718/484, 836/230, 656/476

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 718/484, 836/230, 656/476?

Answer: LCM of Numerators as per given numbers 718/484, 836/230, 656/476 is

LCM of Numerators i.e. for 718,836,656 is 49220336

GCF of denominators i.e. for 484,230,476 is 2.

Thus, LCM of Fractions is 24610168.Finally, LCM of Fractions for 718/484, 836/230, 656/476 is 24610168.