Least Common Multiple of 53/999, 741/114, 932/261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/999, 741/114, 932/261 quickly i.e. 12200812 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/999, 741/114, 932/261 is 12200812.

LCM(53/999, 741/114, 932/261) = 12200812

LCM of 53/999, 741/114, 932/261

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 53/999,741/114,932/261

Given numbers are 53/999,741/114,932/261

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 53,741,932

Least Common Multiple of Numerators i.e. LCM of 53,741,932 is 36602436.

GCF of Denominators means GCF of 999,114,261 as per the given fractions.

GCF of 999,114,261 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,741,932

LCM of Fractions 53/999,741/114,932/261 is 12200812

Given numbers has no common factors except 1. So, there LCM is their product i.e 36602436

Least Common Multiple of 53,741,932 with GCF Formula

Least Common Multiple of 53,741,932 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 53,741,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,741,932) = 1

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

GCF(53,741,932) x common factors =1 x 1 = 1

LCM(53,741,932) = ( 53 × 741 × 932 ) / 1

LCM(53,741,932) = 36602436 / 1

LCM(53,741,932) = 36602436


Lets's calculate GCF of 999,114,261

3 999, 114, 261
333, 38, 87

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36602436/3

Therefore the LCM of Fractions 53/999,741/114,932/261 is 12200812

Greatest Common Factor of 999,114,261 By Matching Biggest Common Factor Method

Greatest Common Factor of 999,114,261 By Matching Biggest Common Factor Method

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Greatest Common Factor

We found the factors 999,114,261 . The biggest common factor number is the GCF number.
So the greatest common factor 999,114,261 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 53/999, 741/114, 932/261

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 53/999, 741/114, 932/261?

Answer: LCM of Numerators as per given numbers 53/999, 741/114, 932/261 is

LCM of Numerators i.e. for 53,741,932 is 36602436

GCF of denominators i.e. for 999,114,261 is 3.

Thus, LCM of Fractions is 12200812.Finally, LCM of Fractions for 53/999, 741/114, 932/261 is 12200812.