Least Common Multiple of 463/312, 423/875, 665/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 463/312, 423/875, 665/409 quickly i.e. 130239585 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 463/312, 423/875, 665/409 is 130239585.

LCM(463/312, 423/875, 665/409) = 130239585

LCM of 463/312, 423/875, 665/409

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 463/312,423/875,665/409

Given numbers are 463/312,423/875,665/409

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 463,423,665

Least Common Multiple of Numerators i.e. LCM of 463,423,665 is 130239585.

GCF of Denominators means GCF of 312,875,409 as per the given fractions.

GCF of 312,875,409 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 463,423,665

LCM of Fractions 463/312,423/875,665/409 is 130239585

Given numbers has no common factors except 1. So, there LCM is their product i.e 130239585

Least Common Multiple of 463,423,665 with GCF Formula

Least Common Multiple of 463,423,665 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 463,423,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,423,665) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(463,423,665) x common factors =1 x 1 = 1

LCM(463,423,665) = ( 463 × 423 × 665 ) / 1

LCM(463,423,665) = 130239585 / 1

LCM(463,423,665) = 130239585


Lets's calculate GCF of 312,875,409

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130239585/1

Therefore the LCM of Fractions 463/312,423/875,665/409 is 130239585

Greatest Common Factor of 312,875,409 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,875,409 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Greatest Common Factor

We found the factors 312,875,409 . The biggest common factor number is the GCF number.
So the greatest common factor 312,875,409 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 463/312, 423/875, 665/409

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 463/312, 423/875, 665/409?

Answer: LCM of Numerators as per given numbers 463/312, 423/875, 665/409 is

LCM of Numerators i.e. for 463,423,665 is 130239585

GCF of denominators i.e. for 312,875,409 is 1.

Thus, LCM of Fractions is 130239585.Finally, LCM of Fractions for 463/312, 423/875, 665/409 is 130239585.