Least Common Multiple of 40/38, 390/57, 832/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/38, 390/57, 832/918 quickly i.e. 12480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/38, 390/57, 832/918 is 12480.

LCM(40/38, 390/57, 832/918) = 12480

LCM of 40/38, 390/57, 832/918

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 40/38,390/57,832/918

Given numbers are 40/38,390/57,832/918

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 40,390,832

Least Common Multiple of Numerators i.e. LCM of 40,390,832 is 12480.

GCF of Denominators means GCF of 38,57,918 as per the given fractions.

GCF of 38,57,918 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,390,832

LCM of Fractions 40/38,390/57,832/918 is 12480

2 40, 390, 832
2 20, 195, 416
2 10, 195, 208
5 5, 195, 104
13 1, 39, 104
1, 3, 8

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 13 x 1 x 3 x 8 = 12480

Least Common Multiple of 40,390,832 with GCF Formula

Least Common Multiple of 40,390,832 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 40,390,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,390,832) = 2

common factors(in case of two or more numbers have common factors) = 520

GCF(40,390,832) x common factors =2 x 520 = 1040

LCM(40,390,832) = ( 40 × 390 × 832 ) / 1040

LCM(40,390,832) = 12979200 / 1040

LCM(40,390,832) = 12480


Lets's calculate GCF of 38,57,918

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12480/1

Therefore the LCM of Fractions 40/38,390/57,832/918 is 12480

Greatest Common Factor of 38,57,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,57,918 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 38,57,918 . The biggest common factor number is the GCF number.
So the greatest common factor 38,57,918 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 40/38, 390/57, 832/918

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 40/38, 390/57, 832/918?

Answer: LCM of Numerators as per given numbers 40/38, 390/57, 832/918 is

LCM of Numerators i.e. for 40,390,832 is 12480

GCF of denominators i.e. for 38,57,918 is 1.

Thus, LCM of Fractions is 12480.Finally, LCM of Fractions for 40/38, 390/57, 832/918 is 12480.