Least Common Multiple of 441/26, 679/22, 901/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 441/26, 679/22, 901/474 quickly i.e. 38542077/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 441/26, 679/22, 901/474 is 38542077/2.

LCM(441/26, 679/22, 901/474) = 38542077/2

LCM of 441/26, 679/22, 901/474

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 441/26,679/22,901/474

Given numbers are 441/26,679/22,901/474

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 441,679,901

Least Common Multiple of Numerators i.e. LCM of 441,679,901 is 38542077.

GCF of Denominators means GCF of 26,22,474 as per the given fractions.

GCF of 26,22,474 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 441,679,901

LCM of Fractions 441/26,679/22,901/474 is 38542077/2

7 441, 679, 901
63, 97, 901

∴ So the LCM of the given numbers is 7 x 63 x 97 x 901 = 38542077

Least Common Multiple of 441,679,901 with GCF Formula

Least Common Multiple of 441,679,901 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 441,679,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(441,679,901) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(441,679,901) x common factors =1 x 7 = 7

LCM(441,679,901) = ( 441 × 679 × 901 ) / 7

LCM(441,679,901) = 269794539 / 7

LCM(441,679,901) = 38542077


Lets's calculate GCF of 26,22,474

2 26, 22, 474
13, 11, 237

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38542077/2

Therefore the LCM of Fractions 441/26,679/22,901/474 is 38542077/2

Greatest Common Factor of 26,22,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,22,474 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

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 26,22,474 . The biggest common factor number is the GCF number.
So the greatest common factor 26,22,474 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 441/26, 679/22, 901/474

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 441/26, 679/22, 901/474?

Answer: LCM of Numerators as per given numbers 441/26, 679/22, 901/474 is

LCM of Numerators i.e. for 441,679,901 is 38542077

GCF of denominators i.e. for 26,22,474 is 2.

Thus, LCM of Fractions is 38542077/2.Finally, LCM of Fractions for 441/26, 679/22, 901/474 is 38542077/2.