Least Common Multiple of 2020/896, 2684/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2020/896, 2684/514 quickly i.e. 677710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2020/896, 2684/514 is 677710.

LCM(2020/896, 2684/514) = 677710

LCM of 2020/896, 2684/514

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 2020/896,2684/514

Given numbers are 2020/896,2684/514

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 2020,2684

Least Common Multiple of Numerators i.e. LCM of 2020,2684 is 1355420.

GCF of Denominators means GCF of 896,514 as per the given fractions.

GCF of 896,514 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2020,2684

LCM of Fractions 2020/896,2684/514 is 677710

2 2020, 2684
2 1010, 1342
505, 671

∴ So the LCM of the given numbers is 2 x 2 x 505 x 671 = 1355420

Least Common Multiple of 2020,2684 with GCF Formula

Least Common Multiple of 2020,2684 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 2020,2684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2020,2684) = 4

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

GCF(2020,2684) x common factors =4 x 1 = 4

LCM(2020,2684) = ( 2020 × 2684 ) / 4

LCM(2020,2684) = 5421680 / 4

LCM(2020,2684) = 1355420


Lets's calculate GCF of 896,514

2 896, 514
448, 257

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1355420/2

Therefore the LCM of Fractions 2020/896,2684/514 is 677710

Greatest Common Factor of 896,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,514 By Matching Biggest Common Factor Method

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 896,514 . The biggest common factor number is the GCF number.
So the greatest common factor 896,514 is 2.


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 2020/896, 2684/514

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 2020/896, 2684/514?

Answer: LCM of Numerators as per given numbers 2020/896, 2684/514 is

LCM of Numerators i.e. for 2020,2684 is 1355420

GCF of denominators i.e. for 896,514 is 2.

Thus, LCM of Fractions is 677710.Finally, LCM of Fractions for 2020/896, 2684/514 is 677710.