Least Common Multiple of 544/774, 614/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 544/774, 614/346 quickly i.e. 83504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 544/774, 614/346 is 83504.

LCM(544/774, 614/346) = 83504

LCM of 544/774, 614/346

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 544/774,614/346

Given numbers are 544/774,614/346

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 544,614

Least Common Multiple of Numerators i.e. LCM of 544,614 is 167008.

GCF of Denominators means GCF of 774,346 as per the given fractions.

GCF of 774,346 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 544,614

LCM of Fractions 544/774,614/346 is 83504

2 544, 614
272, 307

∴ So the LCM of the given numbers is 2 x 272 x 307 = 167008

Least Common Multiple of 544,614 with GCF Formula

Least Common Multiple of 544,614 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 544,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,614) = 2

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

GCF(544,614) x common factors =2 x 1 = 2

LCM(544,614) = ( 544 × 614 ) / 2

LCM(544,614) = 334016 / 2

LCM(544,614) = 167008


Lets's calculate GCF of 774,346

2 774, 346
387, 173

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 167008/2

Therefore the LCM of Fractions 544/774,614/346 is 83504

Greatest Common Factor of 774,346 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,346 By Matching Biggest Common Factor Method

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Greatest Common Factor

We found the factors 774,346 . The biggest common factor number is the GCF number.
So the greatest common factor 774,346 is 2.


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 544/774, 614/346

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 544/774, 614/346?

Answer: LCM of Numerators as per given numbers 544/774, 614/346 is

LCM of Numerators i.e. for 544,614 is 167008

GCF of denominators i.e. for 774,346 is 2.

Thus, LCM of Fractions is 83504.Finally, LCM of Fractions for 544/774, 614/346 is 83504.