Least Common Multiple of 40/230, 472/359, 431/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/230, 472/359, 431/304 quickly i.e. 1017160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/230, 472/359, 431/304 is 1017160.

LCM(40/230, 472/359, 431/304) = 1017160

LCM of 40/230, 472/359, 431/304

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 40/230,472/359,431/304

Given numbers are 40/230,472/359,431/304

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 40,472,431

Least Common Multiple of Numerators i.e. LCM of 40,472,431 is 1017160.

GCF of Denominators means GCF of 230,359,304 as per the given fractions.

GCF of 230,359,304 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,472,431

LCM of Fractions 40/230,472/359,431/304 is 1017160

2 40, 472, 431
2 20, 236, 431
2 10, 118, 431
5, 59, 431

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 59 x 431 = 1017160

Least Common Multiple of 40,472,431 with GCF Formula

Least Common Multiple of 40,472,431 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 40,472,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,472,431) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(40,472,431) x common factors =1 x 8 = 8

LCM(40,472,431) = ( 40 × 472 × 431 ) / 8

LCM(40,472,431) = 8137280 / 8

LCM(40,472,431) = 1017160


Lets's calculate GCF of 230,359,304

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1017160/1

Therefore the LCM of Fractions 40/230,472/359,431/304 is 1017160

Greatest Common Factor of 230,359,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,359,304 By Matching Biggest Common Factor Method

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 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 230,359,304 . The biggest common factor number is the GCF number.
So the greatest common factor 230,359,304 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 40/230, 472/359, 431/304

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 40/230, 472/359, 431/304?

Answer: LCM of Numerators as per given numbers 40/230, 472/359, 431/304 is

LCM of Numerators i.e. for 40,472,431 is 1017160

GCF of denominators i.e. for 230,359,304 is 1.

Thus, LCM of Fractions is 1017160.Finally, LCM of Fractions for 40/230, 472/359, 431/304 is 1017160.