Least Common Multiple of 390/48, 373/57, 731/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 390/48, 373/57, 731/992 quickly i.e. 106338570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 390/48, 373/57, 731/992 is 106338570.

LCM(390/48, 373/57, 731/992) = 106338570

LCM of 390/48, 373/57, 731/992

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 390/48,373/57,731/992

Given numbers are 390/48,373/57,731/992

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 390,373,731

Least Common Multiple of Numerators i.e. LCM of 390,373,731 is 106338570.

GCF of Denominators means GCF of 48,57,992 as per the given fractions.

GCF of 48,57,992 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 390,373,731

LCM of Fractions 390/48,373/57,731/992 is 106338570

Given numbers has no common factors except 1. So, there LCM is their product i.e 106338570

Least Common Multiple of 390,373,731 with GCF Formula

Least Common Multiple of 390,373,731 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 390,373,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,373,731) = 1

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

GCF(390,373,731) x common factors =1 x 1 = 1

LCM(390,373,731) = ( 390 × 373 × 731 ) / 1

LCM(390,373,731) = 106338570 / 1

LCM(390,373,731) = 106338570


Lets's calculate GCF of 48,57,992

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106338570/1

Therefore the LCM of Fractions 390/48,373/57,731/992 is 106338570

Greatest Common Factor of 48,57,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,57,992 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 57

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

1,3,19,57

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 48,57,992 . The biggest common factor number is the GCF number.
So the greatest common factor 48,57,992 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 390/48, 373/57, 731/992

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 390/48, 373/57, 731/992?

Answer: LCM of Numerators as per given numbers 390/48, 373/57, 731/992 is

LCM of Numerators i.e. for 390,373,731 is 106338570

GCF of denominators i.e. for 48,57,992 is 1.

Thus, LCM of Fractions is 106338570.Finally, LCM of Fractions for 390/48, 373/57, 731/992 is 106338570.