Least Common Multiple of 390/61, 640/4792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 390/61, 640/4792 quickly i.e. 24960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 390/61, 640/4792 is 24960.

LCM(390/61, 640/4792) = 24960

LCM of 390/61, 640/4792

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 390/61,640/4792

Given numbers are 390/61,640/4792

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 390,640

Least Common Multiple of Numerators i.e. LCM of 390,640 is 24960.

GCF of Denominators means GCF of 61,4792 as per the given fractions.

GCF of 61,4792 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 390,640

LCM of Fractions 390/61,640/4792 is 24960

2 390, 640
5 195, 320
39, 64

∴ So the LCM of the given numbers is 2 x 5 x 39 x 64 = 24960

Least Common Multiple of 390,640 with GCF Formula

Least Common Multiple of 390,640 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 390,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,640) = 10

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

GCF(390,640) x common factors =10 x 1 = 10

LCM(390,640) = ( 390 × 640 ) / 10

LCM(390,640) = 249600 / 10

LCM(390,640) = 24960


Lets's calculate GCF of 61,4792

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24960/1

Therefore the LCM of Fractions 390/61,640/4792 is 24960

Greatest Common Factor of 61,4792 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,4792 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 4792

List of positive integer factors of 4792 that divides 4792 without a remainder.

1,2,4,8,599,1198,2396,4792

Greatest Common Factor

We found the factors 61,4792 . The biggest common factor number is the GCF number.
So the greatest common factor 61,4792 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 390/61, 640/4792

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 390/61, 640/4792?

Answer: LCM of Numerators as per given numbers 390/61, 640/4792 is

LCM of Numerators i.e. for 390,640 is 24960

GCF of denominators i.e. for 61,4792 is 1.

Thus, LCM of Fractions is 24960.Finally, LCM of Fractions for 390/61, 640/4792 is 24960.