Least Common Multiple of 544/680, 9275/2006

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 544/680, 9275/2006 quickly i.e. 148400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 544/680, 9275/2006 is 148400.

LCM(544/680, 9275/2006) = 148400

LCM of 544/680, 9275/2006

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 544/680,9275/2006

Given numbers are 544/680,9275/2006

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 544,9275

Least Common Multiple of Numerators i.e. LCM of 544,9275 is 5045600.

GCF of Denominators means GCF of 680,2006 as per the given fractions.

GCF of 680,2006 is 34 as it is the largest common factor for these numbers.

Lets's calculate LCM of 544,9275

LCM of Fractions 544/680,9275/2006 is 148400

Given numbers has no common factors except 1. So, there LCM is their product i.e 5045600

Least Common Multiple of 544,9275 with GCF Formula

Least Common Multiple of 544,9275 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 544,9275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,9275) = 1

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

GCF(544,9275) x common factors =1 x 1 = 1

LCM(544,9275) = ( 544 × 9275 ) / 1

LCM(544,9275) = 5045600 / 1

LCM(544,9275) = 5045600


Lets's calculate GCF of 680,2006

2 680, 2006
17 340, 1003
20, 59

∴ So the GCF of the given numbers is 2 x 17 = 34

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5045600/34

Therefore the LCM of Fractions 544/680,9275/2006 is 148400

Greatest Common Factor of 680,2006 By Matching Biggest Common Factor Method

Greatest Common Factor of 680,2006 By Matching Biggest Common Factor Method

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 2006

List of positive integer factors of 2006 that divides 2006 without a remainder.

1,2,17,34,59,118,1003,2006

Greatest Common Factor

We found the factors 680,2006 . The biggest common factor number is the GCF number.
So the greatest common factor 680,2006 is 34.


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 544/680, 9275/2006

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 544/680, 9275/2006?

Answer: LCM of Numerators as per given numbers 544/680, 9275/2006 is

LCM of Numerators i.e. for 544,9275 is 5045600

GCF of denominators i.e. for 680,2006 is 34.

Thus, LCM of Fractions is 148400.Finally, LCM of Fractions for 544/680, 9275/2006 is 148400.