Least Common Multiple of 76/299, 7677/6374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/299, 7677/6374 quickly i.e. 583452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/299, 7677/6374 is 583452.

LCM(76/299, 7677/6374) = 583452

LCM of 76/299, 7677/6374

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 76/299,7677/6374

Given numbers are 76/299,7677/6374

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 76,7677

Least Common Multiple of Numerators i.e. LCM of 76,7677 is 583452.

GCF of Denominators means GCF of 299,6374 as per the given fractions.

GCF of 299,6374 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,7677

LCM of Fractions 76/299,7677/6374 is 583452

Given numbers has no common factors except 1. So, there LCM is their product i.e 583452

Least Common Multiple of 76,7677 with GCF Formula

Least Common Multiple of 76,7677 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 76,7677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,7677) = 1

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

GCF(76,7677) x common factors =1 x 1 = 1

LCM(76,7677) = ( 76 × 7677 ) / 1

LCM(76,7677) = 583452 / 1

LCM(76,7677) = 583452


Lets's calculate GCF of 299,6374

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 583452/1

Therefore the LCM of Fractions 76/299,7677/6374 is 583452

Greatest Common Factor of 299,6374 By Matching Biggest Common Factor Method

Greatest Common Factor of 299,6374 By Matching Biggest Common Factor Method

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 6374

List of positive integer factors of 6374 that divides 6374 without a remainder.

1,2,3187,6374

Greatest Common Factor

We found the factors 299,6374 . The biggest common factor number is the GCF number.
So the greatest common factor 299,6374 is 1.


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 76/299, 7677/6374

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 76/299, 7677/6374?

Answer: LCM of Numerators as per given numbers 76/299, 7677/6374 is

LCM of Numerators i.e. for 76,7677 is 583452

GCF of denominators i.e. for 299,6374 is 1.

Thus, LCM of Fractions is 583452.Finally, LCM of Fractions for 76/299, 7677/6374 is 583452.