Least Common Multiple of 37/309, 66/225, 340/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/309, 66/225, 340/260 quickly i.e. 415140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/309, 66/225, 340/260 is 415140.

LCM(37/309, 66/225, 340/260) = 415140

LCM of 37/309, 66/225, 340/260

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 37/309,66/225,340/260

Given numbers are 37/309,66/225,340/260

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 37,66,340

Least Common Multiple of Numerators i.e. LCM of 37,66,340 is 415140.

GCF of Denominators means GCF of 309,225,260 as per the given fractions.

GCF of 309,225,260 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,66,340

LCM of Fractions 37/309,66/225,340/260 is 415140

2 37, 66, 340
37, 33, 170

∴ So the LCM of the given numbers is 2 x 37 x 33 x 170 = 415140

Least Common Multiple of 37,66,340 with GCF Formula

Least Common Multiple of 37,66,340 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 37,66,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,66,340) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(37,66,340) x common factors =1 x 2 = 2

LCM(37,66,340) = ( 37 × 66 × 340 ) / 2

LCM(37,66,340) = 830280 / 2

LCM(37,66,340) = 415140


Lets's calculate GCF of 309,225,260

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 415140/1

Therefore the LCM of Fractions 37/309,66/225,340/260 is 415140

Greatest Common Factor of 309,225,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 309,225,260 By Matching Biggest Common Factor Method

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 309,225,260 . The biggest common factor number is the GCF number.
So the greatest common factor 309,225,260 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 37/309, 66/225, 340/260

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 37/309, 66/225, 340/260?

Answer: LCM of Numerators as per given numbers 37/309, 66/225, 340/260 is

LCM of Numerators i.e. for 37,66,340 is 415140

GCF of denominators i.e. for 309,225,260 is 1.

Thus, LCM of Fractions is 415140.Finally, LCM of Fractions for 37/309, 66/225, 340/260 is 415140.