Least Common Multiple of 578/738, 2593/6554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 578/738, 2593/6554 quickly i.e. 749377 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 578/738, 2593/6554 is 749377.

LCM(578/738, 2593/6554) = 749377

LCM of 578/738, 2593/6554

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 578/738,2593/6554

Given numbers are 578/738,2593/6554

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 578,2593

Least Common Multiple of Numerators i.e. LCM of 578,2593 is 1498754.

GCF of Denominators means GCF of 738,6554 as per the given fractions.

GCF of 738,6554 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 578,2593

LCM of Fractions 578/738,2593/6554 is 749377

Given numbers has no common factors except 1. So, there LCM is their product i.e 1498754

Least Common Multiple of 578,2593 with GCF Formula

Least Common Multiple of 578,2593 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 578,2593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(578,2593) = 1

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

GCF(578,2593) x common factors =1 x 1 = 1

LCM(578,2593) = ( 578 × 2593 ) / 1

LCM(578,2593) = 1498754 / 1

LCM(578,2593) = 1498754


Lets's calculate GCF of 738,6554

2 738, 6554
369, 3277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1498754/2

Therefore the LCM of Fractions 578/738,2593/6554 is 749377

Greatest Common Factor of 738,6554 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,6554 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 6554

List of positive integer factors of 6554 that divides 6554 without a remainder.

1,2,29,58,113,226,3277,6554

Greatest Common Factor

We found the factors 738,6554 . The biggest common factor number is the GCF number.
So the greatest common factor 738,6554 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 578/738, 2593/6554

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 578/738, 2593/6554?

Answer: LCM of Numerators as per given numbers 578/738, 2593/6554 is

LCM of Numerators i.e. for 578,2593 is 1498754

GCF of denominators i.e. for 738,6554 is 2.

Thus, LCM of Fractions is 749377.Finally, LCM of Fractions for 578/738, 2593/6554 is 749377.