Least Common Multiple of 609/459, 815/436, 274/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 609/459, 815/436, 274/762 quickly i.e. 135995790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 609/459, 815/436, 274/762 is 135995790.

LCM(609/459, 815/436, 274/762) = 135995790

LCM of 609/459, 815/436, 274/762

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 609/459,815/436,274/762

Given numbers are 609/459,815/436,274/762

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 609,815,274

Least Common Multiple of Numerators i.e. LCM of 609,815,274 is 135995790.

GCF of Denominators means GCF of 459,436,762 as per the given fractions.

GCF of 459,436,762 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 609,815,274

LCM of Fractions 609/459,815/436,274/762 is 135995790

Given numbers has no common factors except 1. So, there LCM is their product i.e 135995790

Least Common Multiple of 609,815,274 with GCF Formula

Least Common Multiple of 609,815,274 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 609,815,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(609,815,274) = 1

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

GCF(609,815,274) x common factors =1 x 1 = 1

LCM(609,815,274) = ( 609 × 815 × 274 ) / 1

LCM(609,815,274) = 135995790 / 1

LCM(609,815,274) = 135995790


Lets's calculate GCF of 459,436,762

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135995790/1

Therefore the LCM of Fractions 609/459,815/436,274/762 is 135995790

Greatest Common Factor of 459,436,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 459,436,762 By Matching Biggest Common Factor Method

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 459,436,762 . The biggest common factor number is the GCF number.
So the greatest common factor 459,436,762 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 609/459, 815/436, 274/762

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 609/459, 815/436, 274/762?

Answer: LCM of Numerators as per given numbers 609/459, 815/436, 274/762 is

LCM of Numerators i.e. for 609,815,274 is 135995790

GCF of denominators i.e. for 459,436,762 is 1.

Thus, LCM of Fractions is 135995790.Finally, LCM of Fractions for 609/459, 815/436, 274/762 is 135995790.