Least Common Multiple of 5678/37, 6480/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5678/37, 6480/432 quickly i.e. 18396720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5678/37, 6480/432 is 18396720.

LCM(5678/37, 6480/432) = 18396720

LCM of 5678/37, 6480/432

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 5678/37,6480/432

Given numbers are 5678/37,6480/432

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 5678,6480

Least Common Multiple of Numerators i.e. LCM of 5678,6480 is 18396720.

GCF of Denominators means GCF of 37,432 as per the given fractions.

GCF of 37,432 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5678,6480

LCM of Fractions 5678/37,6480/432 is 18396720

2 5678, 6480
2839, 3240

∴ So the LCM of the given numbers is 2 x 2839 x 3240 = 18396720

Least Common Multiple of 5678,6480 with GCF Formula

Least Common Multiple of 5678,6480 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 5678,6480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5678,6480) = 2

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

GCF(5678,6480) x common factors =2 x 1 = 2

LCM(5678,6480) = ( 5678 × 6480 ) / 2

LCM(5678,6480) = 36793440 / 2

LCM(5678,6480) = 18396720


Lets's calculate GCF of 37,432

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18396720/1

Therefore the LCM of Fractions 5678/37,6480/432 is 18396720

Greatest Common Factor of 37,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,432 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 37,432 . The biggest common factor number is the GCF number.
So the greatest common factor 37,432 is 1.


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 5678/37, 6480/432

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 5678/37, 6480/432?

Answer: LCM of Numerators as per given numbers 5678/37, 6480/432 is

LCM of Numerators i.e. for 5678,6480 is 18396720

GCF of denominators i.e. for 37,432 is 1.

Thus, LCM of Fractions is 18396720.Finally, LCM of Fractions for 5678/37, 6480/432 is 18396720.