Least Common Multiple of 524/16, 816/2180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 524/16, 816/2180 quickly i.e. 26724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 524/16, 816/2180 is 26724.

LCM(524/16, 816/2180) = 26724

LCM of 524/16, 816/2180

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 524/16,816/2180

Given numbers are 524/16,816/2180

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 524,816

Least Common Multiple of Numerators i.e. LCM of 524,816 is 106896.

GCF of Denominators means GCF of 16,2180 as per the given fractions.

GCF of 16,2180 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 524,816

LCM of Fractions 524/16,816/2180 is 26724

2 524, 816
2 262, 408
131, 204

∴ So the LCM of the given numbers is 2 x 2 x 131 x 204 = 106896

Least Common Multiple of 524,816 with GCF Formula

Least Common Multiple of 524,816 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 524,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,816) = 4

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

GCF(524,816) x common factors =4 x 1 = 4

LCM(524,816) = ( 524 × 816 ) / 4

LCM(524,816) = 427584 / 4

LCM(524,816) = 106896


Lets's calculate GCF of 16,2180

2 16, 2180
2 8, 1090
4, 545

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106896/4

Therefore the LCM of Fractions 524/16,816/2180 is 26724

Greatest Common Factor of 16,2180 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,2180 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 2180

List of positive integer factors of 2180 that divides 2180 without a remainder.

1,2,4,5,10,20,109,218,436,545,1090,2180

Greatest Common Factor

We found the factors 16,2180 . The biggest common factor number is the GCF number.
So the greatest common factor 16,2180 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 524/16, 816/2180

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 524/16, 816/2180?

Answer: LCM of Numerators as per given numbers 524/16, 816/2180 is

LCM of Numerators i.e. for 524,816 is 106896

GCF of denominators i.e. for 16,2180 is 4.

Thus, LCM of Fractions is 26724.Finally, LCM of Fractions for 524/16, 816/2180 is 26724.