Least Common Multiple of 4641/375, 6089/6720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4641/375, 6089/6720 quickly i.e. 28259049/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4641/375, 6089/6720 is 28259049/15.

LCM(4641/375, 6089/6720) = 28259049/15

LCM of 4641/375, 6089/6720

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 4641/375,6089/6720

Given numbers are 4641/375,6089/6720

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 4641,6089

Least Common Multiple of Numerators i.e. LCM of 4641,6089 is 28259049.

GCF of Denominators means GCF of 375,6720 as per the given fractions.

GCF of 375,6720 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4641,6089

LCM of Fractions 4641/375,6089/6720 is 28259049/15

Given numbers has no common factors except 1. So, there LCM is their product i.e 28259049

Least Common Multiple of 4641,6089 with GCF Formula

Least Common Multiple of 4641,6089 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 4641,6089 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4641,6089) = 1

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

GCF(4641,6089) x common factors =1 x 1 = 1

LCM(4641,6089) = ( 4641 × 6089 ) / 1

LCM(4641,6089) = 28259049 / 1

LCM(4641,6089) = 28259049


Lets's calculate GCF of 375,6720

3 375, 6720
5 125, 2240
25, 448

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28259049/15

Therefore the LCM of Fractions 4641/375,6089/6720 is 28259049/15

Greatest Common Factor of 375,6720 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,6720 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 6720

List of positive integer factors of 6720 that divides 6720 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,32,35,40,42,48,56,60,64,70,80,84,96,105,112,120,140,160,168,192,210,224,240,280,320,336,420,448,480,560,672,840,960,1120,1344,1680,2240,3360,6720

Greatest Common Factor

We found the factors 375,6720 . The biggest common factor number is the GCF number.
So the greatest common factor 375,6720 is 15.


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 4641/375, 6089/6720

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 4641/375, 6089/6720?

Answer: LCM of Numerators as per given numbers 4641/375, 6089/6720 is

LCM of Numerators i.e. for 4641,6089 is 28259049

GCF of denominators i.e. for 375,6720 is 15.

Thus, LCM of Fractions is 28259049/15.Finally, LCM of Fractions for 4641/375, 6089/6720 is 28259049/15.