Least Common Multiple of 736/72, 8331/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 736/72, 8331/840 quickly i.e. 255484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 736/72, 8331/840 is 255484.

LCM(736/72, 8331/840) = 255484

LCM of 736/72, 8331/840

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 736/72,8331/840

Given numbers are 736/72,8331/840

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 736,8331

Least Common Multiple of Numerators i.e. LCM of 736,8331 is 6131616.

GCF of Denominators means GCF of 72,840 as per the given fractions.

GCF of 72,840 is 24 as it is the largest common factor for these numbers.

Lets's calculate LCM of 736,8331

LCM of Fractions 736/72,8331/840 is 255484

Given numbers has no common factors except 1. So, there LCM is their product i.e 6131616

Least Common Multiple of 736,8331 with GCF Formula

Least Common Multiple of 736,8331 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 736,8331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,8331) = 1

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

GCF(736,8331) x common factors =1 x 1 = 1

LCM(736,8331) = ( 736 × 8331 ) / 1

LCM(736,8331) = 6131616 / 1

LCM(736,8331) = 6131616


Lets's calculate GCF of 72,840

2 72, 840
2 36, 420
2 18, 210
3 9, 105
3, 35

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6131616/24

Therefore the LCM of Fractions 736/72,8331/840 is 255484

Greatest Common Factor of 72,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,840 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 72,840 . The biggest common factor number is the GCF number.
So the greatest common factor 72,840 is 24.


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 736/72, 8331/840

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 736/72, 8331/840?

Answer: LCM of Numerators as per given numbers 736/72, 8331/840 is

LCM of Numerators i.e. for 736,8331 is 6131616

GCF of denominators i.e. for 72,840 is 24.

Thus, LCM of Fractions is 255484.Finally, LCM of Fractions for 736/72, 8331/840 is 255484.