Least Common Multiple of 440/147, 415/809, 309/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 440/147, 415/809, 309/137 quickly i.e. 11284680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 440/147, 415/809, 309/137 is 11284680.

LCM(440/147, 415/809, 309/137) = 11284680

LCM of 440/147, 415/809, 309/137

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 440/147,415/809,309/137

Given numbers are 440/147,415/809,309/137

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 440,415,309

Least Common Multiple of Numerators i.e. LCM of 440,415,309 is 11284680.

GCF of Denominators means GCF of 147,809,137 as per the given fractions.

GCF of 147,809,137 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 440,415,309

LCM of Fractions 440/147,415/809,309/137 is 11284680

5 440, 415, 309
88, 83, 309

∴ So the LCM of the given numbers is 5 x 88 x 83 x 309 = 11284680

Least Common Multiple of 440,415,309 with GCF Formula

Least Common Multiple of 440,415,309 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 440,415,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(440,415,309) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(440,415,309) x common factors =1 x 5 = 5

LCM(440,415,309) = ( 440 × 415 × 309 ) / 5

LCM(440,415,309) = 56423400 / 5

LCM(440,415,309) = 11284680


Lets's calculate GCF of 147,809,137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11284680/1

Therefore the LCM of Fractions 440/147,415/809,309/137 is 11284680

Greatest Common Factor of 147,809,137 By Matching Biggest Common Factor Method

Greatest Common Factor of 147,809,137 By Matching Biggest Common Factor Method

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Greatest Common Factor

We found the factors 147,809,137 . The biggest common factor number is the GCF number.
So the greatest common factor 147,809,137 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 440/147, 415/809, 309/137

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 440/147, 415/809, 309/137?

Answer: LCM of Numerators as per given numbers 440/147, 415/809, 309/137 is

LCM of Numerators i.e. for 440,415,309 is 11284680

GCF of denominators i.e. for 147,809,137 is 1.

Thus, LCM of Fractions is 11284680.Finally, LCM of Fractions for 440/147, 415/809, 309/137 is 11284680.