Least Common Multiple of 407/915, 627/434, 241/537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 407/915, 627/434, 241/537 quickly i.e. 5590959 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 407/915, 627/434, 241/537 is 5590959.

LCM(407/915, 627/434, 241/537) = 5590959

LCM of 407/915, 627/434, 241/537

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 407/915,627/434,241/537

Given numbers are 407/915,627/434,241/537

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 407,627,241

Least Common Multiple of Numerators i.e. LCM of 407,627,241 is 5590959.

GCF of Denominators means GCF of 915,434,537 as per the given fractions.

GCF of 915,434,537 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 407,627,241

LCM of Fractions 407/915,627/434,241/537 is 5590959

11 407, 627, 241
37, 57, 241

∴ So the LCM of the given numbers is 11 x 37 x 57 x 241 = 5590959

Least Common Multiple of 407,627,241 with GCF Formula

Least Common Multiple of 407,627,241 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 407,627,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,627,241) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(407,627,241) x common factors =1 x 11 = 11

LCM(407,627,241) = ( 407 × 627 × 241 ) / 11

LCM(407,627,241) = 61500549 / 11

LCM(407,627,241) = 5590959


Lets's calculate GCF of 915,434,537

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5590959/1

Therefore the LCM of Fractions 407/915,627/434,241/537 is 5590959

Greatest Common Factor of 915,434,537 By Matching Biggest Common Factor Method

Greatest Common Factor of 915,434,537 By Matching Biggest Common Factor Method

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Greatest Common Factor

We found the factors 915,434,537 . The biggest common factor number is the GCF number.
So the greatest common factor 915,434,537 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 407/915, 627/434, 241/537

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 407/915, 627/434, 241/537?

Answer: LCM of Numerators as per given numbers 407/915, 627/434, 241/537 is

LCM of Numerators i.e. for 407,627,241 is 5590959

GCF of denominators i.e. for 915,434,537 is 1.

Thus, LCM of Fractions is 5590959.Finally, LCM of Fractions for 407/915, 627/434, 241/537 is 5590959.