Least Common Multiple of 56/463, 58/908, 438/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/463, 58/908, 438/339 quickly i.e. 355656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/463, 58/908, 438/339 is 355656.

LCM(56/463, 58/908, 438/339) = 355656

LCM of 56/463, 58/908, 438/339

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 56/463,58/908,438/339

Given numbers are 56/463,58/908,438/339

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 56,58,438

Least Common Multiple of Numerators i.e. LCM of 56,58,438 is 355656.

GCF of Denominators means GCF of 463,908,339 as per the given fractions.

GCF of 463,908,339 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,58,438

LCM of Fractions 56/463,58/908,438/339 is 355656

2 56, 58, 438
28, 29, 219

∴ So the LCM of the given numbers is 2 x 28 x 29 x 219 = 355656

Least Common Multiple of 56,58,438 with GCF Formula

Least Common Multiple of 56,58,438 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 56,58,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,58,438) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(56,58,438) x common factors =2 x 2 = 4

LCM(56,58,438) = ( 56 × 58 × 438 ) / 4

LCM(56,58,438) = 1422624 / 4

LCM(56,58,438) = 355656


Lets's calculate GCF of 463,908,339

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 355656/1

Therefore the LCM of Fractions 56/463,58/908,438/339 is 355656

Greatest Common Factor of 463,908,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 463,908,339 By Matching Biggest Common Factor Method

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Greatest Common Factor

We found the factors 463,908,339 . The biggest common factor number is the GCF number.
So the greatest common factor 463,908,339 is 1.


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 56/463, 58/908, 438/339

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 56/463, 58/908, 438/339?

Answer: LCM of Numerators as per given numbers 56/463, 58/908, 438/339 is

LCM of Numerators i.e. for 56,58,438 is 355656

GCF of denominators i.e. for 463,908,339 is 1.

Thus, LCM of Fractions is 355656.Finally, LCM of Fractions for 56/463, 58/908, 438/339 is 355656.