Least Common Multiple of 444/406, 794/518, 726/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 444/406, 794/518, 726/920 quickly i.e. 10664214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 444/406, 794/518, 726/920 is 10664214.

LCM(444/406, 794/518, 726/920) = 10664214

LCM of 444/406, 794/518, 726/920

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 444/406,794/518,726/920

Given numbers are 444/406,794/518,726/920

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 444,794,726

Least Common Multiple of Numerators i.e. LCM of 444,794,726 is 21328428.

GCF of Denominators means GCF of 406,518,920 as per the given fractions.

GCF of 406,518,920 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 444,794,726

LCM of Fractions 444/406,794/518,726/920 is 10664214

2 444, 794, 726
3 222, 397, 363
74, 397, 121

∴ So the LCM of the given numbers is 2 x 3 x 74 x 397 x 121 = 21328428

Least Common Multiple of 444,794,726 with GCF Formula

Least Common Multiple of 444,794,726 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 444,794,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(444,794,726) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(444,794,726) x common factors =2 x 6 = 12

LCM(444,794,726) = ( 444 × 794 × 726 ) / 12

LCM(444,794,726) = 255941136 / 12

LCM(444,794,726) = 21328428


Lets's calculate GCF of 406,518,920

2 406, 518, 920
203, 259, 460

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21328428/2

Therefore the LCM of Fractions 444/406,794/518,726/920 is 10664214

Greatest Common Factor of 406,518,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,518,920 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 406,518,920 . The biggest common factor number is the GCF number.
So the greatest common factor 406,518,920 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 444/406, 794/518, 726/920

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 444/406, 794/518, 726/920?

Answer: LCM of Numerators as per given numbers 444/406, 794/518, 726/920 is

LCM of Numerators i.e. for 444,794,726 is 21328428

GCF of denominators i.e. for 406,518,920 is 2.

Thus, LCM of Fractions is 10664214.Finally, LCM of Fractions for 444/406, 794/518, 726/920 is 10664214.