Least Common Multiple of 3870/480, 2792/1357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3870/480, 2792/1357 quickly i.e. 5402520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3870/480, 2792/1357 is 5402520.

LCM(3870/480, 2792/1357) = 5402520

LCM of 3870/480, 2792/1357

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 3870/480,2792/1357

Given numbers are 3870/480,2792/1357

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 3870,2792

Least Common Multiple of Numerators i.e. LCM of 3870,2792 is 5402520.

GCF of Denominators means GCF of 480,1357 as per the given fractions.

GCF of 480,1357 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3870,2792

LCM of Fractions 3870/480,2792/1357 is 5402520

2 3870, 2792
1935, 1396

∴ So the LCM of the given numbers is 2 x 1935 x 1396 = 5402520

Least Common Multiple of 3870,2792 with GCF Formula

Least Common Multiple of 3870,2792 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 3870,2792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3870,2792) = 2

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

GCF(3870,2792) x common factors =2 x 1 = 2

LCM(3870,2792) = ( 3870 × 2792 ) / 2

LCM(3870,2792) = 10805040 / 2

LCM(3870,2792) = 5402520


Lets's calculate GCF of 480,1357

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5402520/1

Therefore the LCM of Fractions 3870/480,2792/1357 is 5402520

Greatest Common Factor of 480,1357 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,1357 By Matching Biggest Common Factor Method

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 1357

List of positive integer factors of 1357 that divides 1357 without a remainder.

1,23,59,1357

Greatest Common Factor

We found the factors 480,1357 . The biggest common factor number is the GCF number.
So the greatest common factor 480,1357 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 3870/480, 2792/1357

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 3870/480, 2792/1357?

Answer: LCM of Numerators as per given numbers 3870/480, 2792/1357 is

LCM of Numerators i.e. for 3870,2792 is 5402520

GCF of denominators i.e. for 480,1357 is 1.

Thus, LCM of Fractions is 5402520.Finally, LCM of Fractions for 3870/480, 2792/1357 is 5402520.