Least Common Multiple of 4954/565, 7424/8232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4954/565, 7424/8232 quickly i.e. 18389248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4954/565, 7424/8232 is 18389248.

LCM(4954/565, 7424/8232) = 18389248

LCM of 4954/565, 7424/8232

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 4954/565,7424/8232

Given numbers are 4954/565,7424/8232

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 4954,7424

Least Common Multiple of Numerators i.e. LCM of 4954,7424 is 18389248.

GCF of Denominators means GCF of 565,8232 as per the given fractions.

GCF of 565,8232 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4954,7424

LCM of Fractions 4954/565,7424/8232 is 18389248

2 4954, 7424
2477, 3712

∴ So the LCM of the given numbers is 2 x 2477 x 3712 = 18389248

Least Common Multiple of 4954,7424 with GCF Formula

Least Common Multiple of 4954,7424 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 4954,7424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4954,7424) = 2

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

GCF(4954,7424) x common factors =2 x 1 = 2

LCM(4954,7424) = ( 4954 × 7424 ) / 2

LCM(4954,7424) = 36778496 / 2

LCM(4954,7424) = 18389248


Lets's calculate GCF of 565,8232

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18389248/1

Therefore the LCM of Fractions 4954/565,7424/8232 is 18389248

Greatest Common Factor of 565,8232 By Matching Biggest Common Factor Method

Greatest Common Factor of 565,8232 By Matching Biggest Common Factor Method

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Factors of 8232

List of positive integer factors of 8232 that divides 8232 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,49,56,84,98,147,168,196,294,343,392,588,686,1029,1176,1372,2058,2744,4116,8232

Greatest Common Factor

We found the factors 565,8232 . The biggest common factor number is the GCF number.
So the greatest common factor 565,8232 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 4954/565, 7424/8232

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 4954/565, 7424/8232?

Answer: LCM of Numerators as per given numbers 4954/565, 7424/8232 is

LCM of Numerators i.e. for 4954,7424 is 18389248

GCF of denominators i.e. for 565,8232 is 1.

Thus, LCM of Fractions is 18389248.Finally, LCM of Fractions for 4954/565, 7424/8232 is 18389248.