Least Common Multiple of 2614/567, 7348/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2614/567, 7348/321 quickly i.e. 9603836/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2614/567, 7348/321 is 9603836/3.

LCM(2614/567, 7348/321) = 9603836/3

LCM of 2614/567, 7348/321

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 2614/567,7348/321

Given numbers are 2614/567,7348/321

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 2614,7348

Least Common Multiple of Numerators i.e. LCM of 2614,7348 is 9603836.

GCF of Denominators means GCF of 567,321 as per the given fractions.

GCF of 567,321 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2614,7348

LCM of Fractions 2614/567,7348/321 is 9603836/3

2 2614, 7348
1307, 3674

∴ So the LCM of the given numbers is 2 x 1307 x 3674 = 9603836

Least Common Multiple of 2614,7348 with GCF Formula

Least Common Multiple of 2614,7348 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 2614,7348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2614,7348) = 2

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

GCF(2614,7348) x common factors =2 x 1 = 2

LCM(2614,7348) = ( 2614 × 7348 ) / 2

LCM(2614,7348) = 19207672 / 2

LCM(2614,7348) = 9603836


Lets's calculate GCF of 567,321

3 567, 321
189, 107

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9603836/3

Therefore the LCM of Fractions 2614/567,7348/321 is 9603836/3

Greatest Common Factor of 567,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 567,321 By Matching Biggest Common Factor Method

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 567,321 . The biggest common factor number is the GCF number.
So the greatest common factor 567,321 is 3.


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 2614/567, 7348/321

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 2614/567, 7348/321?

Answer: LCM of Numerators as per given numbers 2614/567, 7348/321 is

LCM of Numerators i.e. for 2614,7348 is 9603836

GCF of denominators i.e. for 567,321 is 3.

Thus, LCM of Fractions is 9603836/3.Finally, LCM of Fractions for 2614/567, 7348/321 is 9603836/3.