Least Common Multiple of 732/840, 8268/655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 732/840, 8268/655 quickly i.e. 504348/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 732/840, 8268/655 is 504348/5.

LCM(732/840, 8268/655) = 504348/5

LCM of 732/840, 8268/655

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 732/840,8268/655

Given numbers are 732/840,8268/655

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 732,8268

Least Common Multiple of Numerators i.e. LCM of 732,8268 is 504348.

GCF of Denominators means GCF of 840,655 as per the given fractions.

GCF of 840,655 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 732,8268

LCM of Fractions 732/840,8268/655 is 504348/5

2 732, 8268
2 366, 4134
3 183, 2067
61, 689

∴ So the LCM of the given numbers is 2 x 2 x 3 x 61 x 689 = 504348

Least Common Multiple of 732,8268 with GCF Formula

Least Common Multiple of 732,8268 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 732,8268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,8268) = 12

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

GCF(732,8268) x common factors =12 x 1 = 12

LCM(732,8268) = ( 732 × 8268 ) / 12

LCM(732,8268) = 6052176 / 12

LCM(732,8268) = 504348


Lets's calculate GCF of 840,655

5 840, 655
168, 131

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 504348/5

Therefore the LCM of Fractions 732/840,8268/655 is 504348/5

Greatest Common Factor of 840,655 By Matching Biggest Common Factor Method

Greatest Common Factor of 840,655 By Matching Biggest Common Factor Method

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

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Greatest Common Factor

We found the factors 840,655 . The biggest common factor number is the GCF number.
So the greatest common factor 840,655 is 5.


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 732/840, 8268/655

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 732/840, 8268/655?

Answer: LCM of Numerators as per given numbers 732/840, 8268/655 is

LCM of Numerators i.e. for 732,8268 is 504348

GCF of denominators i.e. for 840,655 is 5.

Thus, LCM of Fractions is 504348/5.Finally, LCM of Fractions for 732/840, 8268/655 is 504348/5.