Least Common Multiple of 22/421, 17/965, 408/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/421, 17/965, 408/580 quickly i.e. 4488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/421, 17/965, 408/580 is 4488.

LCM(22/421, 17/965, 408/580) = 4488

LCM of 22/421, 17/965, 408/580

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 22/421,17/965,408/580

Given numbers are 22/421,17/965,408/580

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 22,17,408

Least Common Multiple of Numerators i.e. LCM of 22,17,408 is 4488.

GCF of Denominators means GCF of 421,965,580 as per the given fractions.

GCF of 421,965,580 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,17,408

LCM of Fractions 22/421,17/965,408/580 is 4488

2 22, 17, 408
17 11, 17, 204
11, 1, 12

∴ So the LCM of the given numbers is 2 x 17 x 11 x 1 x 12 = 4488

Least Common Multiple of 22,17,408 with GCF Formula

Least Common Multiple of 22,17,408 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 22,17,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,17,408) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(22,17,408) x common factors =1 x 34 = 34

LCM(22,17,408) = ( 22 × 17 × 408 ) / 34

LCM(22,17,408) = 152592 / 34

LCM(22,17,408) = 4488


Lets's calculate GCF of 421,965,580

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4488/1

Therefore the LCM of Fractions 22/421,17/965,408/580 is 4488

Greatest Common Factor of 421,965,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 421,965,580 By Matching Biggest Common Factor Method

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 421,965,580 . The biggest common factor number is the GCF number.
So the greatest common factor 421,965,580 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 22/421, 17/965, 408/580

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 22/421, 17/965, 408/580?

Answer: LCM of Numerators as per given numbers 22/421, 17/965, 408/580 is

LCM of Numerators i.e. for 22,17,408 is 4488

GCF of denominators i.e. for 421,965,580 is 1.

Thus, LCM of Fractions is 4488.Finally, LCM of Fractions for 22/421, 17/965, 408/580 is 4488.