Least Common Multiple of 908/30, 7691/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 908/30, 7691/444 quickly i.e. 6983428/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 908/30, 7691/444 is 6983428/6.

LCM(908/30, 7691/444) = 6983428/6

LCM of 908/30, 7691/444

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 908/30,7691/444

Given numbers are 908/30,7691/444

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 908,7691

Least Common Multiple of Numerators i.e. LCM of 908,7691 is 6983428.

GCF of Denominators means GCF of 30,444 as per the given fractions.

GCF of 30,444 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 908,7691

LCM of Fractions 908/30,7691/444 is 6983428/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 6983428

Least Common Multiple of 908,7691 with GCF Formula

Least Common Multiple of 908,7691 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 908,7691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(908,7691) = 1

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

GCF(908,7691) x common factors =1 x 1 = 1

LCM(908,7691) = ( 908 × 7691 ) / 1

LCM(908,7691) = 6983428 / 1

LCM(908,7691) = 6983428


Lets's calculate GCF of 30,444

2 30, 444
3 15, 222
5, 74

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6983428/6

Therefore the LCM of Fractions 908/30,7691/444 is 6983428/6

Greatest Common Factor of 30,444 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,444 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Greatest Common Factor

We found the factors 30,444 . The biggest common factor number is the GCF number.
So the greatest common factor 30,444 is 6.


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 908/30, 7691/444

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 908/30, 7691/444?

Answer: LCM of Numerators as per given numbers 908/30, 7691/444 is

LCM of Numerators i.e. for 908,7691 is 6983428

GCF of denominators i.e. for 30,444 is 6.

Thus, LCM of Fractions is 6983428/6.Finally, LCM of Fractions for 908/30, 7691/444 is 6983428/6.