Least Common Multiple of 12/338, 763/816, 484/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/338, 763/816, 484/508 quickly i.e. 553938 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/338, 763/816, 484/508 is 553938.

LCM(12/338, 763/816, 484/508) = 553938

LCM of 12/338, 763/816, 484/508

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 12/338,763/816,484/508

Given numbers are 12/338,763/816,484/508

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 12,763,484

Least Common Multiple of Numerators i.e. LCM of 12,763,484 is 1107876.

GCF of Denominators means GCF of 338,816,508 as per the given fractions.

GCF of 338,816,508 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,763,484

LCM of Fractions 12/338,763/816,484/508 is 553938

2 12, 763, 484
2 6, 763, 242
3, 763, 121

∴ So the LCM of the given numbers is 2 x 2 x 3 x 763 x 121 = 1107876

Least Common Multiple of 12,763,484 with GCF Formula

Least Common Multiple of 12,763,484 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 12,763,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,763,484) = 1

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

GCF(12,763,484) x common factors =1 x 4 = 4

LCM(12,763,484) = ( 12 × 763 × 484 ) / 4

LCM(12,763,484) = 4431504 / 4

LCM(12,763,484) = 1107876


Lets's calculate GCF of 338,816,508

2 338, 816, 508
169, 408, 254

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1107876/2

Therefore the LCM of Fractions 12/338,763/816,484/508 is 553938

Greatest Common Factor of 338,816,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,816,508 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors 338,816,508 . The biggest common factor number is the GCF number.
So the greatest common factor 338,816,508 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 12/338, 763/816, 484/508

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 12/338, 763/816, 484/508?

Answer: LCM of Numerators as per given numbers 12/338, 763/816, 484/508 is

LCM of Numerators i.e. for 12,763,484 is 1107876

GCF of denominators i.e. for 338,816,508 is 2.

Thus, LCM of Fractions is 553938.Finally, LCM of Fractions for 12/338, 763/816, 484/508 is 553938.