Least Common Multiple of 78/584, 34/253, 274/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/584, 34/253, 274/441 quickly i.e. 181662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/584, 34/253, 274/441 is 181662.

LCM(78/584, 34/253, 274/441) = 181662

LCM of 78/584, 34/253, 274/441

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 78/584,34/253,274/441

Given numbers are 78/584,34/253,274/441

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 78,34,274

Least Common Multiple of Numerators i.e. LCM of 78,34,274 is 181662.

GCF of Denominators means GCF of 584,253,441 as per the given fractions.

GCF of 584,253,441 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,34,274

LCM of Fractions 78/584,34/253,274/441 is 181662

2 78, 34, 274
39, 17, 137

∴ So the LCM of the given numbers is 2 x 39 x 17 x 137 = 181662

Least Common Multiple of 78,34,274 with GCF Formula

Least Common Multiple of 78,34,274 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 78,34,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,34,274) = 2

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

GCF(78,34,274) x common factors =2 x 2 = 4

LCM(78,34,274) = ( 78 × 34 × 274 ) / 4

LCM(78,34,274) = 726648 / 4

LCM(78,34,274) = 181662


Lets's calculate GCF of 584,253,441

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181662/1

Therefore the LCM of Fractions 78/584,34/253,274/441 is 181662

Greatest Common Factor of 584,253,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,253,441 By Matching Biggest Common Factor Method

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 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Greatest Common Factor

We found the factors 584,253,441 . The biggest common factor number is the GCF number.
So the greatest common factor 584,253,441 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 78/584, 34/253, 274/441

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 78/584, 34/253, 274/441?

Answer: LCM of Numerators as per given numbers 78/584, 34/253, 274/441 is

LCM of Numerators i.e. for 78,34,274 is 181662

GCF of denominators i.e. for 584,253,441 is 1.

Thus, LCM of Fractions is 181662.Finally, LCM of Fractions for 78/584, 34/253, 274/441 is 181662.