Least Common Multiple of 565/204, 1840/4968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 565/204, 1840/4968 quickly i.e. 207920/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 565/204, 1840/4968 is 207920/12.

LCM(565/204, 1840/4968) = 207920/12

LCM of 565/204, 1840/4968

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 565/204,1840/4968

Given numbers are 565/204,1840/4968

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 565,1840

Least Common Multiple of Numerators i.e. LCM of 565,1840 is 207920.

GCF of Denominators means GCF of 204,4968 as per the given fractions.

GCF of 204,4968 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 565,1840

LCM of Fractions 565/204,1840/4968 is 207920/12

5 565, 1840
113, 368

∴ So the LCM of the given numbers is 5 x 113 x 368 = 207920

Least Common Multiple of 565,1840 with GCF Formula

Least Common Multiple of 565,1840 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 565,1840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(565,1840) = 5

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

GCF(565,1840) x common factors =5 x 1 = 5

LCM(565,1840) = ( 565 × 1840 ) / 5

LCM(565,1840) = 1039600 / 5

LCM(565,1840) = 207920


Lets's calculate GCF of 204,4968

2 204, 4968
2 102, 2484
3 51, 1242
17, 414

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 207920/12

Therefore the LCM of Fractions 565/204,1840/4968 is 207920/12

Greatest Common Factor of 204,4968 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,4968 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 4968

List of positive integer factors of 4968 that divides 4968 without a remainder.

1,2,3,4,6,8,9,12,18,23,24,27,36,46,54,69,72,92,108,138,184,207,216,276,414,552,621,828,1242,1656,2484,4968

Greatest Common Factor

We found the factors 204,4968 . The biggest common factor number is the GCF number.
So the greatest common factor 204,4968 is 12.


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 565/204, 1840/4968

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 565/204, 1840/4968?

Answer: LCM of Numerators as per given numbers 565/204, 1840/4968 is

LCM of Numerators i.e. for 565,1840 is 207920

GCF of denominators i.e. for 204,4968 is 12.

Thus, LCM of Fractions is 207920/12.Finally, LCM of Fractions for 565/204, 1840/4968 is 207920/12.