Least Common Multiple of 5640/23, 2314/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5640/23, 2314/368 quickly i.e. 6525480/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5640/23, 2314/368 is 6525480/23.

LCM(5640/23, 2314/368) = 6525480/23

LCM of 5640/23, 2314/368

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 5640/23,2314/368

Given numbers are 5640/23,2314/368

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 5640,2314

Least Common Multiple of Numerators i.e. LCM of 5640,2314 is 6525480.

GCF of Denominators means GCF of 23,368 as per the given fractions.

GCF of 23,368 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5640,2314

LCM of Fractions 5640/23,2314/368 is 6525480/23

2 5640, 2314
2820, 1157

∴ So the LCM of the given numbers is 2 x 2820 x 1157 = 6525480

Least Common Multiple of 5640,2314 with GCF Formula

Least Common Multiple of 5640,2314 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 5640,2314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5640,2314) = 2

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

GCF(5640,2314) x common factors =2 x 1 = 2

LCM(5640,2314) = ( 5640 × 2314 ) / 2

LCM(5640,2314) = 13050960 / 2

LCM(5640,2314) = 6525480


Lets's calculate GCF of 23,368

23 23, 368
1, 16

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6525480/23

Therefore the LCM of Fractions 5640/23,2314/368 is 6525480/23

Greatest Common Factor of 23,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,368 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 23,368 . The biggest common factor number is the GCF number.
So the greatest common factor 23,368 is 23.


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 5640/23, 2314/368

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 5640/23, 2314/368?

Answer: LCM of Numerators as per given numbers 5640/23, 2314/368 is

LCM of Numerators i.e. for 5640,2314 is 6525480

GCF of denominators i.e. for 23,368 is 23.

Thus, LCM of Fractions is 6525480/23.Finally, LCM of Fractions for 5640/23, 2314/368 is 6525480/23.