Least Common Multiple of 34/731, 15/439, 561/957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/731, 15/439, 561/957 quickly i.e. 5610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/731, 15/439, 561/957 is 5610.

LCM(34/731, 15/439, 561/957) = 5610

LCM of 34/731, 15/439, 561/957

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 34/731,15/439,561/957

Given numbers are 34/731,15/439,561/957

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 34,15,561

Least Common Multiple of Numerators i.e. LCM of 34,15,561 is 5610.

GCF of Denominators means GCF of 731,439,957 as per the given fractions.

GCF of 731,439,957 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,15,561

LCM of Fractions 34/731,15/439,561/957 is 5610

3 34, 15, 561
17 34, 5, 187
2, 5, 11

∴ So the LCM of the given numbers is 3 x 17 x 2 x 5 x 11 = 5610

Least Common Multiple of 34,15,561 with GCF Formula

Least Common Multiple of 34,15,561 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 34,15,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,15,561) = 1

common factors(in case of two or more numbers have common factors) = 51

GCF(34,15,561) x common factors =1 x 51 = 51

LCM(34,15,561) = ( 34 × 15 × 561 ) / 51

LCM(34,15,561) = 286110 / 51

LCM(34,15,561) = 5610


Lets's calculate GCF of 731,439,957

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5610/1

Therefore the LCM of Fractions 34/731,15/439,561/957 is 5610

Greatest Common Factor of 731,439,957 By Matching Biggest Common Factor Method

Greatest Common Factor of 731,439,957 By Matching Biggest Common Factor Method

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Greatest Common Factor

We found the factors 731,439,957 . The biggest common factor number is the GCF number.
So the greatest common factor 731,439,957 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 34/731, 15/439, 561/957

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 34/731, 15/439, 561/957?

Answer: LCM of Numerators as per given numbers 34/731, 15/439, 561/957 is

LCM of Numerators i.e. for 34,15,561 is 5610

GCF of denominators i.e. for 731,439,957 is 1.

Thus, LCM of Fractions is 5610.Finally, LCM of Fractions for 34/731, 15/439, 561/957 is 5610.