Least Common Multiple of 4954/953, 4686/9629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4954/953, 4686/9629 quickly i.e. 11607222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4954/953, 4686/9629 is 11607222.

LCM(4954/953, 4686/9629) = 11607222

LCM of 4954/953, 4686/9629

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 4954/953,4686/9629

Given numbers are 4954/953,4686/9629

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 4954,4686

Least Common Multiple of Numerators i.e. LCM of 4954,4686 is 11607222.

GCF of Denominators means GCF of 953,9629 as per the given fractions.

GCF of 953,9629 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4954,4686

LCM of Fractions 4954/953,4686/9629 is 11607222

2 4954, 4686
2477, 2343

∴ So the LCM of the given numbers is 2 x 2477 x 2343 = 11607222

Least Common Multiple of 4954,4686 with GCF Formula

Least Common Multiple of 4954,4686 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 4954,4686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4954,4686) = 2

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

GCF(4954,4686) x common factors =2 x 1 = 2

LCM(4954,4686) = ( 4954 × 4686 ) / 2

LCM(4954,4686) = 23214444 / 2

LCM(4954,4686) = 11607222


Lets's calculate GCF of 953,9629

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11607222/1

Therefore the LCM of Fractions 4954/953,4686/9629 is 11607222

Greatest Common Factor of 953,9629 By Matching Biggest Common Factor Method

Greatest Common Factor of 953,9629 By Matching Biggest Common Factor Method

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Factors of 9629

List of positive integer factors of 9629 that divides 9629 without a remainder.

1,9629

Greatest Common Factor

We found the factors 953,9629 . The biggest common factor number is the GCF number.
So the greatest common factor 953,9629 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4954/953, 4686/9629

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 4954/953, 4686/9629?

Answer: LCM of Numerators as per given numbers 4954/953, 4686/9629 is

LCM of Numerators i.e. for 4954,4686 is 11607222

GCF of denominators i.e. for 953,9629 is 1.

Thus, LCM of Fractions is 11607222.Finally, LCM of Fractions for 4954/953, 4686/9629 is 11607222.