Least Common Multiple of 840/36, 3969/885

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 840/36, 3969/885 quickly i.e. 52920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 840/36, 3969/885 is 52920.

LCM(840/36, 3969/885) = 52920

LCM of 840/36, 3969/885

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 840/36,3969/885

Given numbers are 840/36,3969/885

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 840,3969

Least Common Multiple of Numerators i.e. LCM of 840,3969 is 158760.

GCF of Denominators means GCF of 36,885 as per the given fractions.

GCF of 36,885 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 840,3969

LCM of Fractions 840/36,3969/885 is 52920

3 840, 3969
7 280, 1323
40, 189

∴ So the LCM of the given numbers is 3 x 7 x 40 x 189 = 158760

Least Common Multiple of 840,3969 with GCF Formula

Least Common Multiple of 840,3969 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 840,3969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,3969) = 21

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

GCF(840,3969) x common factors =21 x 1 = 21

LCM(840,3969) = ( 840 × 3969 ) / 21

LCM(840,3969) = 3333960 / 21

LCM(840,3969) = 158760


Lets's calculate GCF of 36,885

3 36, 885
12, 295

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 158760/3

Therefore the LCM of Fractions 840/36,3969/885 is 52920

Greatest Common Factor of 36,885 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,885 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Greatest Common Factor

We found the factors 36,885 . The biggest common factor number is the GCF number.
So the greatest common factor 36,885 is 3.


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 840/36, 3969/885

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 840/36, 3969/885?

Answer: LCM of Numerators as per given numbers 840/36, 3969/885 is

LCM of Numerators i.e. for 840,3969 is 158760

GCF of denominators i.e. for 36,885 is 3.

Thus, LCM of Fractions is 52920.Finally, LCM of Fractions for 840/36, 3969/885 is 52920.