Least Common Multiple of 2104/513, 5632/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2104/513, 5632/108 quickly i.e. 1481216/27 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2104/513, 5632/108 is 1481216/27.

LCM(2104/513, 5632/108) = 1481216/27

LCM of 2104/513, 5632/108

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 2104/513,5632/108

Given numbers are 2104/513,5632/108

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 2104,5632

Least Common Multiple of Numerators i.e. LCM of 2104,5632 is 1481216.

GCF of Denominators means GCF of 513,108 as per the given fractions.

GCF of 513,108 is 27 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2104,5632

LCM of Fractions 2104/513,5632/108 is 1481216/27

2 2104, 5632
2 1052, 2816
2 526, 1408
263, 704

∴ So the LCM of the given numbers is 2 x 2 x 2 x 263 x 704 = 1481216

Least Common Multiple of 2104,5632 with GCF Formula

Least Common Multiple of 2104,5632 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 2104,5632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2104,5632) = 8

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

GCF(2104,5632) x common factors =8 x 1 = 8

LCM(2104,5632) = ( 2104 × 5632 ) / 8

LCM(2104,5632) = 11849728 / 8

LCM(2104,5632) = 1481216


Lets's calculate GCF of 513,108

3 513, 108
3 171, 36
3 57, 12
19, 4

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1481216/27

Therefore the LCM of Fractions 2104/513,5632/108 is 1481216/27

Greatest Common Factor of 513,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,108 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 513,108 . The biggest common factor number is the GCF number.
So the greatest common factor 513,108 is 27.


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 2104/513, 5632/108

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 2104/513, 5632/108?

Answer: LCM of Numerators as per given numbers 2104/513, 5632/108 is

LCM of Numerators i.e. for 2104,5632 is 1481216

GCF of denominators i.e. for 513,108 is 27.

Thus, LCM of Fractions is 1481216/27.Finally, LCM of Fractions for 2104/513, 5632/108 is 1481216/27.