Least Common Multiple of 4618/975, 4304/5537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4618/975, 4304/5537 quickly i.e. 9937936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4618/975, 4304/5537 is 9937936.

LCM(4618/975, 4304/5537) = 9937936

LCM of 4618/975, 4304/5537

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 4618/975,4304/5537

Given numbers are 4618/975,4304/5537

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 4618,4304

Least Common Multiple of Numerators i.e. LCM of 4618,4304 is 9937936.

GCF of Denominators means GCF of 975,5537 as per the given fractions.

GCF of 975,5537 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4618,4304

LCM of Fractions 4618/975,4304/5537 is 9937936

2 4618, 4304
2309, 2152

∴ So the LCM of the given numbers is 2 x 2309 x 2152 = 9937936

Least Common Multiple of 4618,4304 with GCF Formula

Least Common Multiple of 4618,4304 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 4618,4304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4618,4304) = 2

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

GCF(4618,4304) x common factors =2 x 1 = 2

LCM(4618,4304) = ( 4618 × 4304 ) / 2

LCM(4618,4304) = 19875872 / 2

LCM(4618,4304) = 9937936


Lets's calculate GCF of 975,5537

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9937936/1

Therefore the LCM of Fractions 4618/975,4304/5537 is 9937936

Greatest Common Factor of 975,5537 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,5537 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 5537

List of positive integer factors of 5537 that divides 5537 without a remainder.

1,7,49,113,791,5537

Greatest Common Factor

We found the factors 975,5537 . The biggest common factor number is the GCF number.
So the greatest common factor 975,5537 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 4618/975, 4304/5537

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 4618/975, 4304/5537?

Answer: LCM of Numerators as per given numbers 4618/975, 4304/5537 is

LCM of Numerators i.e. for 4618,4304 is 9937936

GCF of denominators i.e. for 975,5537 is 1.

Thus, LCM of Fractions is 9937936.Finally, LCM of Fractions for 4618/975, 4304/5537 is 9937936.