Least Common Multiple of 53/423, 11/760, 851/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/423, 11/760, 851/540 quickly i.e. 496133 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/423, 11/760, 851/540 is 496133.

LCM(53/423, 11/760, 851/540) = 496133

LCM of 53/423, 11/760, 851/540

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 53/423,11/760,851/540

Given numbers are 53/423,11/760,851/540

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 53,11,851

Least Common Multiple of Numerators i.e. LCM of 53,11,851 is 496133.

GCF of Denominators means GCF of 423,760,540 as per the given fractions.

GCF of 423,760,540 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,11,851

LCM of Fractions 53/423,11/760,851/540 is 496133

Given numbers has no common factors except 1. So, there LCM is their product i.e 496133

Least Common Multiple of 53,11,851 with GCF Formula

Least Common Multiple of 53,11,851 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 53,11,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,11,851) = 1

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

GCF(53,11,851) x common factors =1 x 1 = 1

LCM(53,11,851) = ( 53 × 11 × 851 ) / 1

LCM(53,11,851) = 496133 / 1

LCM(53,11,851) = 496133


Lets's calculate GCF of 423,760,540

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 496133/1

Therefore the LCM of Fractions 53/423,11/760,851/540 is 496133

Greatest Common Factor of 423,760,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 423,760,540 By Matching Biggest Common Factor Method

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 423,760,540 . The biggest common factor number is the GCF number.
So the greatest common factor 423,760,540 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 53/423, 11/760, 851/540

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 53/423, 11/760, 851/540?

Answer: LCM of Numerators as per given numbers 53/423, 11/760, 851/540 is

LCM of Numerators i.e. for 53,11,851 is 496133

GCF of denominators i.e. for 423,760,540 is 1.

Thus, LCM of Fractions is 496133.Finally, LCM of Fractions for 53/423, 11/760, 851/540 is 496133.