Least Common Multiple of 920/756, 3885/1853

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 920/756, 3885/1853 quickly i.e. 714840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 920/756, 3885/1853 is 714840.

LCM(920/756, 3885/1853) = 714840

LCM of 920/756, 3885/1853

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 920/756,3885/1853

Given numbers are 920/756,3885/1853

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 920,3885

Least Common Multiple of Numerators i.e. LCM of 920,3885 is 714840.

GCF of Denominators means GCF of 756,1853 as per the given fractions.

GCF of 756,1853 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 920,3885

LCM of Fractions 920/756,3885/1853 is 714840

5 920, 3885
184, 777

∴ So the LCM of the given numbers is 5 x 184 x 777 = 714840

Least Common Multiple of 920,3885 with GCF Formula

Least Common Multiple of 920,3885 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 920,3885 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,3885) = 5

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

GCF(920,3885) x common factors =5 x 1 = 5

LCM(920,3885) = ( 920 × 3885 ) / 5

LCM(920,3885) = 3574200 / 5

LCM(920,3885) = 714840


Lets's calculate GCF of 756,1853

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 714840/1

Therefore the LCM of Fractions 920/756,3885/1853 is 714840

Greatest Common Factor of 756,1853 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,1853 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 1853

List of positive integer factors of 1853 that divides 1853 without a remainder.

1,17,109,1853

Greatest Common Factor

We found the factors 756,1853 . The biggest common factor number is the GCF number.
So the greatest common factor 756,1853 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 920/756, 3885/1853

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 920/756, 3885/1853?

Answer: LCM of Numerators as per given numbers 920/756, 3885/1853 is

LCM of Numerators i.e. for 920,3885 is 714840

GCF of denominators i.e. for 756,1853 is 1.

Thus, LCM of Fractions is 714840.Finally, LCM of Fractions for 920/756, 3885/1853 is 714840.