Least Common Multiple of 743/823, 254/183, 253/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 743/823, 254/183, 253/130 quickly i.e. 47746666 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 743/823, 254/183, 253/130 is 47746666.

LCM(743/823, 254/183, 253/130) = 47746666

LCM of 743/823, 254/183, 253/130

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 743/823,254/183,253/130

Given numbers are 743/823,254/183,253/130

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 743,254,253

Least Common Multiple of Numerators i.e. LCM of 743,254,253 is 47746666.

GCF of Denominators means GCF of 823,183,130 as per the given fractions.

GCF of 823,183,130 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 743,254,253

LCM of Fractions 743/823,254/183,253/130 is 47746666

Given numbers has no common factors except 1. So, there LCM is their product i.e 47746666

Least Common Multiple of 743,254,253 with GCF Formula

Least Common Multiple of 743,254,253 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 743,254,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,254,253) = 1

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

GCF(743,254,253) x common factors =1 x 1 = 1

LCM(743,254,253) = ( 743 × 254 × 253 ) / 1

LCM(743,254,253) = 47746666 / 1

LCM(743,254,253) = 47746666


Lets's calculate GCF of 823,183,130

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47746666/1

Therefore the LCM of Fractions 743/823,254/183,253/130 is 47746666

Greatest Common Factor of 823,183,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 823,183,130 By Matching Biggest Common Factor Method

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 823,183,130 . The biggest common factor number is the GCF number.
So the greatest common factor 823,183,130 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 743/823, 254/183, 253/130

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 743/823, 254/183, 253/130?

Answer: LCM of Numerators as per given numbers 743/823, 254/183, 253/130 is

LCM of Numerators i.e. for 743,254,253 is 47746666

GCF of denominators i.e. for 823,183,130 is 1.

Thus, LCM of Fractions is 47746666.Finally, LCM of Fractions for 743/823, 254/183, 253/130 is 47746666.