Least Common Multiple of 27/352, 229/584, 349/785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/352, 229/584, 349/785 quickly i.e. 2157867 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/352, 229/584, 349/785 is 2157867.

LCM(27/352, 229/584, 349/785) = 2157867

LCM of 27/352, 229/584, 349/785

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 27/352,229/584,349/785

Given numbers are 27/352,229/584,349/785

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 27,229,349

Least Common Multiple of Numerators i.e. LCM of 27,229,349 is 2157867.

GCF of Denominators means GCF of 352,584,785 as per the given fractions.

GCF of 352,584,785 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,229,349

LCM of Fractions 27/352,229/584,349/785 is 2157867

Given numbers has no common factors except 1. So, there LCM is their product i.e 2157867

Least Common Multiple of 27,229,349 with GCF Formula

Least Common Multiple of 27,229,349 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 27,229,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,229,349) = 1

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

GCF(27,229,349) x common factors =1 x 1 = 1

LCM(27,229,349) = ( 27 × 229 × 349 ) / 1

LCM(27,229,349) = 2157867 / 1

LCM(27,229,349) = 2157867


Lets's calculate GCF of 352,584,785

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2157867/1

Therefore the LCM of Fractions 27/352,229/584,349/785 is 2157867

Greatest Common Factor of 352,584,785 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,584,785 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Greatest Common Factor

We found the factors 352,584,785 . The biggest common factor number is the GCF number.
So the greatest common factor 352,584,785 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 27/352, 229/584, 349/785

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 27/352, 229/584, 349/785?

Answer: LCM of Numerators as per given numbers 27/352, 229/584, 349/785 is

LCM of Numerators i.e. for 27,229,349 is 2157867

GCF of denominators i.e. for 352,584,785 is 1.

Thus, LCM of Fractions is 2157867.Finally, LCM of Fractions for 27/352, 229/584, 349/785 is 2157867.