Least Common Multiple of 740/583, 2204/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 740/583, 2204/418 quickly i.e. 407740/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 740/583, 2204/418 is 407740/11.

LCM(740/583, 2204/418) = 407740/11

LCM of 740/583, 2204/418

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 740/583,2204/418

Given numbers are 740/583,2204/418

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 740,2204

Least Common Multiple of Numerators i.e. LCM of 740,2204 is 407740.

GCF of Denominators means GCF of 583,418 as per the given fractions.

GCF of 583,418 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 740,2204

LCM of Fractions 740/583,2204/418 is 407740/11

2 740, 2204
2 370, 1102
185, 551

∴ So the LCM of the given numbers is 2 x 2 x 185 x 551 = 407740

Least Common Multiple of 740,2204 with GCF Formula

Least Common Multiple of 740,2204 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 740,2204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,2204) = 4

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

GCF(740,2204) x common factors =4 x 1 = 4

LCM(740,2204) = ( 740 × 2204 ) / 4

LCM(740,2204) = 1630960 / 4

LCM(740,2204) = 407740


Lets's calculate GCF of 583,418

11 583, 418
53, 38

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 407740/11

Therefore the LCM of Fractions 740/583,2204/418 is 407740/11

Greatest Common Factor of 583,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 583,418 By Matching Biggest Common Factor Method

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 583,418 . The biggest common factor number is the GCF number.
So the greatest common factor 583,418 is 11.


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 740/583, 2204/418

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 740/583, 2204/418?

Answer: LCM of Numerators as per given numbers 740/583, 2204/418 is

LCM of Numerators i.e. for 740,2204 is 407740

GCF of denominators i.e. for 583,418 is 11.

Thus, LCM of Fractions is 407740/11.Finally, LCM of Fractions for 740/583, 2204/418 is 407740/11.