Least Common Multiple of 53/381, 7245/1125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/381, 7245/1125 quickly i.e. 127995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/381, 7245/1125 is 127995.

LCM(53/381, 7245/1125) = 127995

LCM of 53/381, 7245/1125

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 53/381,7245/1125

Given numbers are 53/381,7245/1125

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 53,7245

Least Common Multiple of Numerators i.e. LCM of 53,7245 is 383985.

GCF of Denominators means GCF of 381,1125 as per the given fractions.

GCF of 381,1125 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,7245

LCM of Fractions 53/381,7245/1125 is 127995

Given numbers has no common factors except 1. So, there LCM is their product i.e 383985

Least Common Multiple of 53,7245 with GCF Formula

Least Common Multiple of 53,7245 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 53,7245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,7245) = 1

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

GCF(53,7245) x common factors =1 x 1 = 1

LCM(53,7245) = ( 53 × 7245 ) / 1

LCM(53,7245) = 383985 / 1

LCM(53,7245) = 383985


Lets's calculate GCF of 381,1125

3 381, 1125
127, 375

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 383985/3

Therefore the LCM of Fractions 53/381,7245/1125 is 127995

Greatest Common Factor of 381,1125 By Matching Biggest Common Factor Method

Greatest Common Factor of 381,1125 By Matching Biggest Common Factor Method

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 1125

List of positive integer factors of 1125 that divides 1125 without a remainder.

1,3,5,9,15,25,45,75,125,225,375,1125

Greatest Common Factor

We found the factors 381,1125 . The biggest common factor number is the GCF number.
So the greatest common factor 381,1125 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 53/381, 7245/1125

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 53/381, 7245/1125?

Answer: LCM of Numerators as per given numbers 53/381, 7245/1125 is

LCM of Numerators i.e. for 53,7245 is 383985

GCF of denominators i.e. for 381,1125 is 3.

Thus, LCM of Fractions is 127995.Finally, LCM of Fractions for 53/381, 7245/1125 is 127995.