Least Common Multiple of 557/493, 4623/4260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 557/493, 4623/4260 quickly i.e. 2575011 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 557/493, 4623/4260 is 2575011.

LCM(557/493, 4623/4260) = 2575011

LCM of 557/493, 4623/4260

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 557/493,4623/4260

Given numbers are 557/493,4623/4260

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 557,4623

Least Common Multiple of Numerators i.e. LCM of 557,4623 is 2575011.

GCF of Denominators means GCF of 493,4260 as per the given fractions.

GCF of 493,4260 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 557,4623

LCM of Fractions 557/493,4623/4260 is 2575011

Given numbers has no common factors except 1. So, there LCM is their product i.e 2575011

Least Common Multiple of 557,4623 with GCF Formula

Least Common Multiple of 557,4623 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 557,4623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(557,4623) = 1

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

GCF(557,4623) x common factors =1 x 1 = 1

LCM(557,4623) = ( 557 × 4623 ) / 1

LCM(557,4623) = 2575011 / 1

LCM(557,4623) = 2575011


Lets's calculate GCF of 493,4260

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2575011/1

Therefore the LCM of Fractions 557/493,4623/4260 is 2575011

Greatest Common Factor of 493,4260 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,4260 By Matching Biggest Common Factor Method

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 4260

List of positive integer factors of 4260 that divides 4260 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,71,142,213,284,355,426,710,852,1065,1420,2130,4260

Greatest Common Factor

We found the factors 493,4260 . The biggest common factor number is the GCF number.
So the greatest common factor 493,4260 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 557/493, 4623/4260

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 557/493, 4623/4260?

Answer: LCM of Numerators as per given numbers 557/493, 4623/4260 is

LCM of Numerators i.e. for 557,4623 is 2575011

GCF of denominators i.e. for 493,4260 is 1.

Thus, LCM of Fractions is 2575011.Finally, LCM of Fractions for 557/493, 4623/4260 is 2575011.