Least Common Multiple of 4981/75, 2283/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4981/75, 2283/474 quickly i.e. 3790541 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4981/75, 2283/474 is 3790541.

LCM(4981/75, 2283/474) = 3790541

LCM of 4981/75, 2283/474

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 4981/75,2283/474

Given numbers are 4981/75,2283/474

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 4981,2283

Least Common Multiple of Numerators i.e. LCM of 4981,2283 is 11371623.

GCF of Denominators means GCF of 75,474 as per the given fractions.

GCF of 75,474 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4981,2283

LCM of Fractions 4981/75,2283/474 is 3790541

Given numbers has no common factors except 1. So, there LCM is their product i.e 11371623

Least Common Multiple of 4981,2283 with GCF Formula

Least Common Multiple of 4981,2283 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 4981,2283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4981,2283) = 1

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

GCF(4981,2283) x common factors =1 x 1 = 1

LCM(4981,2283) = ( 4981 × 2283 ) / 1

LCM(4981,2283) = 11371623 / 1

LCM(4981,2283) = 11371623


Lets's calculate GCF of 75,474

3 75, 474
25, 158

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11371623/3

Therefore the LCM of Fractions 4981/75,2283/474 is 3790541

Greatest Common Factor of 75,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,474 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 75,474 . The biggest common factor number is the GCF number.
So the greatest common factor 75,474 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4981/75, 2283/474

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 4981/75, 2283/474?

Answer: LCM of Numerators as per given numbers 4981/75, 2283/474 is

LCM of Numerators i.e. for 4981,2283 is 11371623

GCF of denominators i.e. for 75,474 is 3.

Thus, LCM of Fractions is 3790541.Finally, LCM of Fractions for 4981/75, 2283/474 is 3790541.