Least Common Multiple of 27/722, 49/907, 915/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 27/722, 49/907, 915/718 quickly i.e. 403515 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/722, 49/907, 915/718 is 403515.

LCM(27/722, 49/907, 915/718) = 403515

LCM of 27/722, 49/907, 915/718

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 27/722,49/907,915/718

Given numbers are 27/722,49/907,915/718

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 27,49,915

Least Common Multiple of Numerators i.e. LCM of 27,49,915 is 403515.

GCF of Denominators means GCF of 722,907,718 as per the given fractions.

GCF of 722,907,718 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,49,915

LCM of Fractions 27/722,49/907,915/718 is 403515

3 27, 49, 915
9, 49, 305

∴ So the LCM of the given numbers is 3 x 9 x 49 x 305 = 403515

Least Common Multiple of 27,49,915 with GCF Formula

Least Common Multiple of 27,49,915 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 27,49,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,49,915) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(27,49,915) x common factors =1 x 3 = 3

LCM(27,49,915) = ( 27 × 49 × 915 ) / 3

LCM(27,49,915) = 1210545 / 3

LCM(27,49,915) = 403515


Lets's calculate GCF of 722,907,718

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 403515/1

Therefore the LCM of Fractions 27/722,49/907,915/718 is 403515

Greatest Common Factor of 722,907,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 722,907,718 By Matching Biggest Common Factor Method

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 722,907,718 . The biggest common factor number is the GCF number.
So the greatest common factor 722,907,718 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 27/722, 49/907, 915/718

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 27/722, 49/907, 915/718?

Answer: LCM of Numerators as per given numbers 27/722, 49/907, 915/718 is

LCM of Numerators i.e. for 27,49,915 is 403515

GCF of denominators i.e. for 722,907,718 is 1.

Thus, LCM of Fractions is 403515.Finally, LCM of Fractions for 27/722, 49/907, 915/718 is 403515.