Least Common Multiple of 574/83, 419/1144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 574/83, 419/1144 quickly i.e. 240506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 574/83, 419/1144 is 240506.

LCM(574/83, 419/1144) = 240506

LCM of 574/83, 419/1144

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 574/83,419/1144

Given numbers are 574/83,419/1144

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 574,419

Least Common Multiple of Numerators i.e. LCM of 574,419 is 240506.

GCF of Denominators means GCF of 83,1144 as per the given fractions.

GCF of 83,1144 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 574,419

LCM of Fractions 574/83,419/1144 is 240506

Given numbers has no common factors except 1. So, there LCM is their product i.e 240506

Least Common Multiple of 574,419 with GCF Formula

Least Common Multiple of 574,419 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 574,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(574,419) = 1

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

GCF(574,419) x common factors =1 x 1 = 1

LCM(574,419) = ( 574 × 419 ) / 1

LCM(574,419) = 240506 / 1

LCM(574,419) = 240506


Lets's calculate GCF of 83,1144

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 240506/1

Therefore the LCM of Fractions 574/83,419/1144 is 240506

Greatest Common Factor of 83,1144 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,1144 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 1144

List of positive integer factors of 1144 that divides 1144 without a remainder.

1,2,4,8,11,13,22,26,44,52,88,104,143,286,572,1144

Greatest Common Factor

We found the factors 83,1144 . The biggest common factor number is the GCF number.
So the greatest common factor 83,1144 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 574/83, 419/1144

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 574/83, 419/1144?

Answer: LCM of Numerators as per given numbers 574/83, 419/1144 is

LCM of Numerators i.e. for 574,419 is 240506

GCF of denominators i.e. for 83,1144 is 1.

Thus, LCM of Fractions is 240506.Finally, LCM of Fractions for 574/83, 419/1144 is 240506.