Least Common Multiple of 2290/518, 5128/113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2290/518, 5128/113 quickly i.e. 5871560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2290/518, 5128/113 is 5871560.

LCM(2290/518, 5128/113) = 5871560

LCM of 2290/518, 5128/113

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 2290/518,5128/113

Given numbers are 2290/518,5128/113

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 2290,5128

Least Common Multiple of Numerators i.e. LCM of 2290,5128 is 5871560.

GCF of Denominators means GCF of 518,113 as per the given fractions.

GCF of 518,113 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2290,5128

LCM of Fractions 2290/518,5128/113 is 5871560

2 2290, 5128
1145, 2564

∴ So the LCM of the given numbers is 2 x 1145 x 2564 = 5871560

Least Common Multiple of 2290,5128 with GCF Formula

Least Common Multiple of 2290,5128 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 2290,5128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2290,5128) = 2

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

GCF(2290,5128) x common factors =2 x 1 = 2

LCM(2290,5128) = ( 2290 × 5128 ) / 2

LCM(2290,5128) = 11743120 / 2

LCM(2290,5128) = 5871560


Lets's calculate GCF of 518,113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5871560/1

Therefore the LCM of Fractions 2290/518,5128/113 is 5871560

Greatest Common Factor of 518,113 By Matching Biggest Common Factor Method

Greatest Common Factor of 518,113 By Matching Biggest Common Factor Method

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Greatest Common Factor

We found the factors 518,113 . The biggest common factor number is the GCF number.
So the greatest common factor 518,113 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 2290/518, 5128/113

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 2290/518, 5128/113?

Answer: LCM of Numerators as per given numbers 2290/518, 5128/113 is

LCM of Numerators i.e. for 2290,5128 is 5871560

GCF of denominators i.e. for 518,113 is 1.

Thus, LCM of Fractions is 5871560.Finally, LCM of Fractions for 2290/518, 5128/113 is 5871560.