Least Common Multiple of 909/29, 948/7756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 909/29, 948/7756 quickly i.e. 287244 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 909/29, 948/7756 is 287244.

LCM(909/29, 948/7756) = 287244

LCM of 909/29, 948/7756

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 909/29,948/7756

Given numbers are 909/29,948/7756

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 909,948

Least Common Multiple of Numerators i.e. LCM of 909,948 is 287244.

GCF of Denominators means GCF of 29,7756 as per the given fractions.

GCF of 29,7756 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 909,948

LCM of Fractions 909/29,948/7756 is 287244

3 909, 948
303, 316

∴ So the LCM of the given numbers is 3 x 303 x 316 = 287244

Least Common Multiple of 909,948 with GCF Formula

Least Common Multiple of 909,948 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 909,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(909,948) = 3

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

GCF(909,948) x common factors =3 x 1 = 3

LCM(909,948) = ( 909 × 948 ) / 3

LCM(909,948) = 861732 / 3

LCM(909,948) = 287244


Lets's calculate GCF of 29,7756

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 287244/1

Therefore the LCM of Fractions 909/29,948/7756 is 287244

Greatest Common Factor of 29,7756 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,7756 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 7756

List of positive integer factors of 7756 that divides 7756 without a remainder.

1,2,4,7,14,28,277,554,1108,1939,3878,7756

Greatest Common Factor

We found the factors 29,7756 . The biggest common factor number is the GCF number.
So the greatest common factor 29,7756 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 909/29, 948/7756

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 909/29, 948/7756?

Answer: LCM of Numerators as per given numbers 909/29, 948/7756 is

LCM of Numerators i.e. for 909,948 is 287244

GCF of denominators i.e. for 29,7756 is 1.

Thus, LCM of Fractions is 287244.Finally, LCM of Fractions for 909/29, 948/7756 is 287244.