Least Common Multiple of 53/276, 370/999, 575/841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/276, 370/999, 575/841 quickly i.e. 2255150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/276, 370/999, 575/841 is 2255150.

LCM(53/276, 370/999, 575/841) = 2255150

LCM of 53/276, 370/999, 575/841

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 53/276,370/999,575/841

Given numbers are 53/276,370/999,575/841

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 53,370,575

Least Common Multiple of Numerators i.e. LCM of 53,370,575 is 2255150.

GCF of Denominators means GCF of 276,999,841 as per the given fractions.

GCF of 276,999,841 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,370,575

LCM of Fractions 53/276,370/999,575/841 is 2255150

5 53, 370, 575
53, 74, 115

∴ So the LCM of the given numbers is 5 x 53 x 74 x 115 = 2255150

Least Common Multiple of 53,370,575 with GCF Formula

Least Common Multiple of 53,370,575 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 53,370,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,370,575) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(53,370,575) x common factors =1 x 5 = 5

LCM(53,370,575) = ( 53 × 370 × 575 ) / 5

LCM(53,370,575) = 11275750 / 5

LCM(53,370,575) = 2255150


Lets's calculate GCF of 276,999,841

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2255150/1

Therefore the LCM of Fractions 53/276,370/999,575/841 is 2255150

Greatest Common Factor of 276,999,841 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,999,841 By Matching Biggest Common Factor Method

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

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 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

Greatest Common Factor

We found the factors 276,999,841 . The biggest common factor number is the GCF number.
So the greatest common factor 276,999,841 is 1.


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 53/276, 370/999, 575/841

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 53/276, 370/999, 575/841?

Answer: LCM of Numerators as per given numbers 53/276, 370/999, 575/841 is

LCM of Numerators i.e. for 53,370,575 is 2255150

GCF of denominators i.e. for 276,999,841 is 1.

Thus, LCM of Fractions is 2255150.Finally, LCM of Fractions for 53/276, 370/999, 575/841 is 2255150.