Least Common Multiple of 4722/574, 6596/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4722/574, 6596/274 quickly i.e. 7786578 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4722/574, 6596/274 is 7786578.

LCM(4722/574, 6596/274) = 7786578

LCM of 4722/574, 6596/274

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 4722/574,6596/274

Given numbers are 4722/574,6596/274

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 4722,6596

Least Common Multiple of Numerators i.e. LCM of 4722,6596 is 15573156.

GCF of Denominators means GCF of 574,274 as per the given fractions.

GCF of 574,274 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4722,6596

LCM of Fractions 4722/574,6596/274 is 7786578

2 4722, 6596
2361, 3298

∴ So the LCM of the given numbers is 2 x 2361 x 3298 = 15573156

Least Common Multiple of 4722,6596 with GCF Formula

Least Common Multiple of 4722,6596 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 4722,6596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4722,6596) = 2

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

GCF(4722,6596) x common factors =2 x 1 = 2

LCM(4722,6596) = ( 4722 × 6596 ) / 2

LCM(4722,6596) = 31146312 / 2

LCM(4722,6596) = 15573156


Lets's calculate GCF of 574,274

2 574, 274
287, 137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15573156/2

Therefore the LCM of Fractions 4722/574,6596/274 is 7786578

Greatest Common Factor of 574,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,274 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 574,274 . The biggest common factor number is the GCF number.
So the greatest common factor 574,274 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 4722/574, 6596/274

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 4722/574, 6596/274?

Answer: LCM of Numerators as per given numbers 4722/574, 6596/274 is

LCM of Numerators i.e. for 4722,6596 is 15573156

GCF of denominators i.e. for 574,274 is 2.

Thus, LCM of Fractions is 7786578.Finally, LCM of Fractions for 4722/574, 6596/274 is 7786578.