Least Common Multiple of 919/27, 412/93, 342/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 919/27, 412/93, 342/231 quickly i.e. 21581796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 919/27, 412/93, 342/231 is 21581796.

LCM(919/27, 412/93, 342/231) = 21581796

LCM of 919/27, 412/93, 342/231

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 919/27,412/93,342/231

Given numbers are 919/27,412/93,342/231

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 919,412,342

Least Common Multiple of Numerators i.e. LCM of 919,412,342 is 64745388.

GCF of Denominators means GCF of 27,93,231 as per the given fractions.

GCF of 27,93,231 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 919,412,342

LCM of Fractions 919/27,412/93,342/231 is 21581796

2 919, 412, 342
919, 206, 171

∴ So the LCM of the given numbers is 2 x 919 x 206 x 171 = 64745388

Least Common Multiple of 919,412,342 with GCF Formula

Least Common Multiple of 919,412,342 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 919,412,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(919,412,342) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(919,412,342) x common factors =1 x 2 = 2

LCM(919,412,342) = ( 919 × 412 × 342 ) / 2

LCM(919,412,342) = 129490776 / 2

LCM(919,412,342) = 64745388


Lets's calculate GCF of 27,93,231

3 27, 93, 231
9, 31, 77

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64745388/3

Therefore the LCM of Fractions 919/27,412/93,342/231 is 21581796

Greatest Common Factor of 27,93,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,93,231 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 27,93,231 . The biggest common factor number is the GCF number.
So the greatest common factor 27,93,231 is 3.


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 919/27, 412/93, 342/231

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 919/27, 412/93, 342/231?

Answer: LCM of Numerators as per given numbers 919/27, 412/93, 342/231 is

LCM of Numerators i.e. for 919,412,342 is 64745388

GCF of denominators i.e. for 27,93,231 is 3.

Thus, LCM of Fractions is 21581796.Finally, LCM of Fractions for 919/27, 412/93, 342/231 is 21581796.