Least Common Multiple of 135/723, 8153/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 135/723, 8153/837 quickly i.e. 366885 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 135/723, 8153/837 is 366885.

LCM(135/723, 8153/837) = 366885

LCM of 135/723, 8153/837

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 135/723,8153/837

Given numbers are 135/723,8153/837

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 135,8153

Least Common Multiple of Numerators i.e. LCM of 135,8153 is 1100655.

GCF of Denominators means GCF of 723,837 as per the given fractions.

GCF of 723,837 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 135,8153

LCM of Fractions 135/723,8153/837 is 366885

Given numbers has no common factors except 1. So, there LCM is their product i.e 1100655

Least Common Multiple of 135,8153 with GCF Formula

Least Common Multiple of 135,8153 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 135,8153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,8153) = 1

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

GCF(135,8153) x common factors =1 x 1 = 1

LCM(135,8153) = ( 135 × 8153 ) / 1

LCM(135,8153) = 1100655 / 1

LCM(135,8153) = 1100655


Lets's calculate GCF of 723,837

3 723, 837
241, 279

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1100655/3

Therefore the LCM of Fractions 135/723,8153/837 is 366885

Greatest Common Factor of 723,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,837 By Matching Biggest Common Factor Method

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 723,837 . The biggest common factor number is the GCF number.
So the greatest common factor 723,837 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 135/723, 8153/837

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 135/723, 8153/837?

Answer: LCM of Numerators as per given numbers 135/723, 8153/837 is

LCM of Numerators i.e. for 135,8153 is 1100655

GCF of denominators i.e. for 723,837 is 3.

Thus, LCM of Fractions is 366885.Finally, LCM of Fractions for 135/723, 8153/837 is 366885.