Least Common Multiple of 74/418, 438/404, 722/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/418, 438/404, 722/950 quickly i.e. 2925183 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/418, 438/404, 722/950 is 2925183.

LCM(74/418, 438/404, 722/950) = 2925183

LCM of 74/418, 438/404, 722/950

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 74/418,438/404,722/950

Given numbers are 74/418,438/404,722/950

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 74,438,722

Least Common Multiple of Numerators i.e. LCM of 74,438,722 is 5850366.

GCF of Denominators means GCF of 418,404,950 as per the given fractions.

GCF of 418,404,950 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,438,722

LCM of Fractions 74/418,438/404,722/950 is 2925183

2 74, 438, 722
37, 219, 361

∴ So the LCM of the given numbers is 2 x 37 x 219 x 361 = 5850366

Least Common Multiple of 74,438,722 with GCF Formula

Least Common Multiple of 74,438,722 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 74,438,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,438,722) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(74,438,722) x common factors =2 x 2 = 4

LCM(74,438,722) = ( 74 × 438 × 722 ) / 4

LCM(74,438,722) = 23401464 / 4

LCM(74,438,722) = 5850366


Lets's calculate GCF of 418,404,950

2 418, 404, 950
209, 202, 475

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5850366/2

Therefore the LCM of Fractions 74/418,438/404,722/950 is 2925183

Greatest Common Factor of 418,404,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,404,950 By Matching Biggest Common Factor Method

Factors of 418

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

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

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 418,404,950 . The biggest common factor number is the GCF number.
So the greatest common factor 418,404,950 is 2.


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 74/418, 438/404, 722/950

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 74/418, 438/404, 722/950?

Answer: LCM of Numerators as per given numbers 74/418, 438/404, 722/950 is

LCM of Numerators i.e. for 74,438,722 is 5850366

GCF of denominators i.e. for 418,404,950 is 2.

Thus, LCM of Fractions is 2925183.Finally, LCM of Fractions for 74/418, 438/404, 722/950 is 2925183.