Least Common Multiple of 569/20, 3800/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 569/20, 3800/976 quickly i.e. 540550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 569/20, 3800/976 is 540550.

LCM(569/20, 3800/976) = 540550

LCM of 569/20, 3800/976

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 569/20,3800/976

Given numbers are 569/20,3800/976

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 569,3800

Least Common Multiple of Numerators i.e. LCM of 569,3800 is 2162200.

GCF of Denominators means GCF of 20,976 as per the given fractions.

GCF of 20,976 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 569,3800

LCM of Fractions 569/20,3800/976 is 540550

Given numbers has no common factors except 1. So, there LCM is their product i.e 2162200

Least Common Multiple of 569,3800 with GCF Formula

Least Common Multiple of 569,3800 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 569,3800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(569,3800) = 1

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

GCF(569,3800) x common factors =1 x 1 = 1

LCM(569,3800) = ( 569 × 3800 ) / 1

LCM(569,3800) = 2162200 / 1

LCM(569,3800) = 2162200


Lets's calculate GCF of 20,976

2 20, 976
2 10, 488
5, 244

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2162200/4

Therefore the LCM of Fractions 569/20,3800/976 is 540550

Greatest Common Factor of 20,976 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,976 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Greatest Common Factor

We found the factors 20,976 . The biggest common factor number is the GCF number.
So the greatest common factor 20,976 is 4.


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 569/20, 3800/976

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 569/20, 3800/976?

Answer: LCM of Numerators as per given numbers 569/20, 3800/976 is

LCM of Numerators i.e. for 569,3800 is 2162200

GCF of denominators i.e. for 20,976 is 4.

Thus, LCM of Fractions is 540550.Finally, LCM of Fractions for 569/20, 3800/976 is 540550.