Least Common Multiple of 344/76, 349/2584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 344/76, 349/2584 quickly i.e. 120056/76 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 344/76, 349/2584 is 120056/76.

LCM(344/76, 349/2584) = 120056/76

LCM of 344/76, 349/2584

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 344/76,349/2584

Given numbers are 344/76,349/2584

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 344,349

Least Common Multiple of Numerators i.e. LCM of 344,349 is 120056.

GCF of Denominators means GCF of 76,2584 as per the given fractions.

GCF of 76,2584 is 76 as it is the largest common factor for these numbers.

Lets's calculate LCM of 344,349

LCM of Fractions 344/76,349/2584 is 120056/76

Given numbers has no common factors except 1. So, there LCM is their product i.e 120056

Least Common Multiple of 344,349 with GCF Formula

Least Common Multiple of 344,349 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 344,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,349) = 1

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

GCF(344,349) x common factors =1 x 1 = 1

LCM(344,349) = ( 344 × 349 ) / 1

LCM(344,349) = 120056 / 1

LCM(344,349) = 120056


Lets's calculate GCF of 76,2584

2 76, 2584
2 38, 1292
19 19, 646
1, 34

∴ So the GCF of the given numbers is 2 x 2 x 19 = 76

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120056/76

Therefore the LCM of Fractions 344/76,349/2584 is 120056/76

Greatest Common Factor of 76,2584 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,2584 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 2584

List of positive integer factors of 2584 that divides 2584 without a remainder.

1,2,4,8,17,19,34,38,68,76,136,152,323,646,1292,2584

Greatest Common Factor

We found the factors 76,2584 . The biggest common factor number is the GCF number.
So the greatest common factor 76,2584 is 76.


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 344/76, 349/2584

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 344/76, 349/2584?

Answer: LCM of Numerators as per given numbers 344/76, 349/2584 is

LCM of Numerators i.e. for 344,349 is 120056

GCF of denominators i.e. for 76,2584 is 76.

Thus, LCM of Fractions is 120056/76.Finally, LCM of Fractions for 344/76, 349/2584 is 120056/76.