Least Common Multiple of 393/274, 680/672, 609/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 393/274, 680/672, 609/110 quickly i.e. 27124860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 393/274, 680/672, 609/110 is 27124860.

LCM(393/274, 680/672, 609/110) = 27124860

LCM of 393/274, 680/672, 609/110

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 393/274,680/672,609/110

Given numbers are 393/274,680/672,609/110

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 393,680,609

Least Common Multiple of Numerators i.e. LCM of 393,680,609 is 54249720.

GCF of Denominators means GCF of 274,672,110 as per the given fractions.

GCF of 274,672,110 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 393,680,609

LCM of Fractions 393/274,680/672,609/110 is 27124860

3 393, 680, 609
131, 680, 203

∴ So the LCM of the given numbers is 3 x 131 x 680 x 203 = 54249720

Least Common Multiple of 393,680,609 with GCF Formula

Least Common Multiple of 393,680,609 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 393,680,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(393,680,609) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(393,680,609) x common factors =1 x 3 = 3

LCM(393,680,609) = ( 393 × 680 × 609 ) / 3

LCM(393,680,609) = 162749160 / 3

LCM(393,680,609) = 54249720


Lets's calculate GCF of 274,672,110

2 274, 672, 110
137, 336, 55

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54249720/2

Therefore the LCM of Fractions 393/274,680/672,609/110 is 27124860

Greatest Common Factor of 274,672,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 274,672,110 By Matching Biggest Common Factor Method

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 274,672,110 . The biggest common factor number is the GCF number.
So the greatest common factor 274,672,110 is 2.


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 393/274, 680/672, 609/110

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 393/274, 680/672, 609/110?

Answer: LCM of Numerators as per given numbers 393/274, 680/672, 609/110 is

LCM of Numerators i.e. for 393,680,609 is 54249720

GCF of denominators i.e. for 274,672,110 is 2.

Thus, LCM of Fractions is 27124860.Finally, LCM of Fractions for 393/274, 680/672, 609/110 is 27124860.