Least Common Multiple of 72/926, 559/435, 419/609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/926, 559/435, 419/609 quickly i.e. 16863912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/926, 559/435, 419/609 is 16863912.

LCM(72/926, 559/435, 419/609) = 16863912

LCM of 72/926, 559/435, 419/609

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 72/926,559/435,419/609

Given numbers are 72/926,559/435,419/609

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 72,559,419

Least Common Multiple of Numerators i.e. LCM of 72,559,419 is 16863912.

GCF of Denominators means GCF of 926,435,609 as per the given fractions.

GCF of 926,435,609 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,559,419

LCM of Fractions 72/926,559/435,419/609 is 16863912

Given numbers has no common factors except 1. So, there LCM is their product i.e 16863912

Least Common Multiple of 72,559,419 with GCF Formula

Least Common Multiple of 72,559,419 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 72,559,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,559,419) = 1

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

GCF(72,559,419) x common factors =1 x 1 = 1

LCM(72,559,419) = ( 72 × 559 × 419 ) / 1

LCM(72,559,419) = 16863912 / 1

LCM(72,559,419) = 16863912


Lets's calculate GCF of 926,435,609

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16863912/1

Therefore the LCM of Fractions 72/926,559/435,419/609 is 16863912

Greatest Common Factor of 926,435,609 By Matching Biggest Common Factor Method

Greatest Common Factor of 926,435,609 By Matching Biggest Common Factor Method

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Greatest Common Factor

We found the factors 926,435,609 . The biggest common factor number is the GCF number.
So the greatest common factor 926,435,609 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 72/926, 559/435, 419/609

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 72/926, 559/435, 419/609?

Answer: LCM of Numerators as per given numbers 72/926, 559/435, 419/609 is

LCM of Numerators i.e. for 72,559,419 is 16863912

GCF of denominators i.e. for 926,435,609 is 1.

Thus, LCM of Fractions is 16863912.Finally, LCM of Fractions for 72/926, 559/435, 419/609 is 16863912.