Least Common Multiple of 840/36, 733/6820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 840/36, 733/6820 quickly i.e. 153930 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, 733/6820 is 153930.

LCM(840/36, 733/6820) = 153930

LCM of 840/36, 733/6820

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 840/36,733/6820

Given numbers are 840/36,733/6820

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 840,733

Least Common Multiple of Numerators i.e. LCM of 840,733 is 615720.

GCF of Denominators means GCF of 36,6820 as per the given fractions.

GCF of 36,6820 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 840,733

LCM of Fractions 840/36,733/6820 is 153930

Given numbers has no common factors except 1. So, there LCM is their product i.e 615720

Least Common Multiple of 840,733 with GCF Formula

Least Common Multiple of 840,733 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 840,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,733) = 1

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

GCF(840,733) x common factors =1 x 1 = 1

LCM(840,733) = ( 840 × 733 ) / 1

LCM(840,733) = 615720 / 1

LCM(840,733) = 615720


Lets's calculate GCF of 36,6820

2 36, 6820
2 18, 3410
9, 1705

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 615720/4

Therefore the LCM of Fractions 840/36,733/6820 is 153930

Greatest Common Factor of 36,6820 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,6820 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 6820

List of positive integer factors of 6820 that divides 6820 without a remainder.

1,2,4,5,10,11,20,22,31,44,55,62,110,124,155,220,310,341,620,682,1364,1705,3410,6820

Greatest Common Factor

We found the factors 36,6820 . The biggest common factor number is the GCF number.
So the greatest common factor 36,6820 is 4.


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, 733/6820

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, 733/6820?

Answer: LCM of Numerators as per given numbers 840/36, 733/6820 is

LCM of Numerators i.e. for 840,733 is 615720

GCF of denominators i.e. for 36,6820 is 4.

Thus, LCM of Fractions is 153930.Finally, LCM of Fractions for 840/36, 733/6820 is 153930.