Least Common Multiple of 5760/883, 2020/9893

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5760/883, 2020/9893 quickly i.e. 581760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5760/883, 2020/9893 is 581760.

LCM(5760/883, 2020/9893) = 581760

LCM of 5760/883, 2020/9893

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 5760/883,2020/9893

Given numbers are 5760/883,2020/9893

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 5760,2020

Least Common Multiple of Numerators i.e. LCM of 5760,2020 is 581760.

GCF of Denominators means GCF of 883,9893 as per the given fractions.

GCF of 883,9893 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5760,2020

LCM of Fractions 5760/883,2020/9893 is 581760

2 5760, 2020
2 2880, 1010
5 1440, 505
288, 101

∴ So the LCM of the given numbers is 2 x 2 x 5 x 288 x 101 = 581760

Least Common Multiple of 5760,2020 with GCF Formula

Least Common Multiple of 5760,2020 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 5760,2020 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5760,2020) = 20

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

GCF(5760,2020) x common factors =20 x 1 = 20

LCM(5760,2020) = ( 5760 × 2020 ) / 20

LCM(5760,2020) = 11635200 / 20

LCM(5760,2020) = 581760


Lets's calculate GCF of 883,9893

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 581760/1

Therefore the LCM of Fractions 5760/883,2020/9893 is 581760

Greatest Common Factor of 883,9893 By Matching Biggest Common Factor Method

Greatest Common Factor of 883,9893 By Matching Biggest Common Factor Method

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

Factors of 9893

List of positive integer factors of 9893 that divides 9893 without a remainder.

1,13,761,9893

Greatest Common Factor

We found the factors 883,9893 . The biggest common factor number is the GCF number.
So the greatest common factor 883,9893 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5760/883, 2020/9893

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 5760/883, 2020/9893?

Answer: LCM of Numerators as per given numbers 5760/883, 2020/9893 is

LCM of Numerators i.e. for 5760,2020 is 581760

GCF of denominators i.e. for 883,9893 is 1.

Thus, LCM of Fractions is 581760.Finally, LCM of Fractions for 5760/883, 2020/9893 is 581760.