Least Common Multiple of 366/23, 331/81, 385/757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 366/23, 331/81, 385/757 quickly i.e. 46641210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 366/23, 331/81, 385/757 is 46641210.

LCM(366/23, 331/81, 385/757) = 46641210

LCM of 366/23, 331/81, 385/757

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 366/23,331/81,385/757

Given numbers are 366/23,331/81,385/757

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 366,331,385

Least Common Multiple of Numerators i.e. LCM of 366,331,385 is 46641210.

GCF of Denominators means GCF of 23,81,757 as per the given fractions.

GCF of 23,81,757 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 366,331,385

LCM of Fractions 366/23,331/81,385/757 is 46641210

Given numbers has no common factors except 1. So, there LCM is their product i.e 46641210

Least Common Multiple of 366,331,385 with GCF Formula

Least Common Multiple of 366,331,385 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 366,331,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(366,331,385) = 1

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

GCF(366,331,385) x common factors =1 x 1 = 1

LCM(366,331,385) = ( 366 × 331 × 385 ) / 1

LCM(366,331,385) = 46641210 / 1

LCM(366,331,385) = 46641210


Lets's calculate GCF of 23,81,757

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46641210/1

Therefore the LCM of Fractions 366/23,331/81,385/757 is 46641210

Greatest Common Factor of 23,81,757 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,81,757 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Greatest Common Factor

We found the factors 23,81,757 . The biggest common factor number is the GCF number.
So the greatest common factor 23,81,757 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 366/23, 331/81, 385/757

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 366/23, 331/81, 385/757?

Answer: LCM of Numerators as per given numbers 366/23, 331/81, 385/757 is

LCM of Numerators i.e. for 366,331,385 is 46641210

GCF of denominators i.e. for 23,81,757 is 1.

Thus, LCM of Fractions is 46641210.Finally, LCM of Fractions for 366/23, 331/81, 385/757 is 46641210.