Least Common Multiple of 318/911, 7362/727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 318/911, 7362/727 quickly i.e. 390186 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 318/911, 7362/727 is 390186.

LCM(318/911, 7362/727) = 390186

LCM of 318/911, 7362/727

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 318/911,7362/727

Given numbers are 318/911,7362/727

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 318,7362

Least Common Multiple of Numerators i.e. LCM of 318,7362 is 390186.

GCF of Denominators means GCF of 911,727 as per the given fractions.

GCF of 911,727 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 318,7362

LCM of Fractions 318/911,7362/727 is 390186

2 318, 7362
3 159, 3681
53, 1227

∴ So the LCM of the given numbers is 2 x 3 x 53 x 1227 = 390186

Least Common Multiple of 318,7362 with GCF Formula

Least Common Multiple of 318,7362 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 318,7362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,7362) = 6

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

GCF(318,7362) x common factors =6 x 1 = 6

LCM(318,7362) = ( 318 × 7362 ) / 6

LCM(318,7362) = 2341116 / 6

LCM(318,7362) = 390186


Lets's calculate GCF of 911,727

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 390186/1

Therefore the LCM of Fractions 318/911,7362/727 is 390186

Greatest Common Factor of 911,727 By Matching Biggest Common Factor Method

Greatest Common Factor of 911,727 By Matching Biggest Common Factor Method

Factors of 911

List of positive integer factors of 911 that divides 911 without a remainder.

1,911

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Greatest Common Factor

We found the factors 911,727 . The biggest common factor number is the GCF number.
So the greatest common factor 911,727 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 318/911, 7362/727

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 318/911, 7362/727?

Answer: LCM of Numerators as per given numbers 318/911, 7362/727 is

LCM of Numerators i.e. for 318,7362 is 390186

GCF of denominators i.e. for 911,727 is 1.

Thus, LCM of Fractions is 390186.Finally, LCM of Fractions for 318/911, 7362/727 is 390186.