Least Common Multiple of 51/478, 990/214, 544/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/478, 990/214, 544/882 quickly i.e. 134640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/478, 990/214, 544/882 is 134640.

LCM(51/478, 990/214, 544/882) = 134640

LCM of 51/478, 990/214, 544/882

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 51/478,990/214,544/882

Given numbers are 51/478,990/214,544/882

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 51,990,544

Least Common Multiple of Numerators i.e. LCM of 51,990,544 is 269280.

GCF of Denominators means GCF of 478,214,882 as per the given fractions.

GCF of 478,214,882 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,990,544

LCM of Fractions 51/478,990/214,544/882 is 134640

2 51, 990, 544
3 51, 495, 272
17 17, 165, 272
1, 165, 16

∴ So the LCM of the given numbers is 2 x 3 x 17 x 1 x 165 x 16 = 269280

Least Common Multiple of 51,990,544 with GCF Formula

Least Common Multiple of 51,990,544 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 51,990,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,990,544) = 1

common factors(in case of two or more numbers have common factors) = 102

GCF(51,990,544) x common factors =1 x 102 = 102

LCM(51,990,544) = ( 51 × 990 × 544 ) / 102

LCM(51,990,544) = 27466560 / 102

LCM(51,990,544) = 269280


Lets's calculate GCF of 478,214,882

2 478, 214, 882
239, 107, 441

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 269280/2

Therefore the LCM of Fractions 51/478,990/214,544/882 is 134640

Greatest Common Factor of 478,214,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,214,882 By Matching Biggest Common Factor Method

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 478,214,882 . The biggest common factor number is the GCF number.
So the greatest common factor 478,214,882 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 51/478, 990/214, 544/882

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 51/478, 990/214, 544/882?

Answer: LCM of Numerators as per given numbers 51/478, 990/214, 544/882 is

LCM of Numerators i.e. for 51,990,544 is 269280

GCF of denominators i.e. for 478,214,882 is 2.

Thus, LCM of Fractions is 134640.Finally, LCM of Fractions for 51/478, 990/214, 544/882 is 134640.