Least Common Multiple of 22/838, 211/315, 580/609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/838, 211/315, 580/609 quickly i.e. 1346180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/838, 211/315, 580/609 is 1346180.

LCM(22/838, 211/315, 580/609) = 1346180

LCM of 22/838, 211/315, 580/609

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 22/838,211/315,580/609

Given numbers are 22/838,211/315,580/609

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 22,211,580

Least Common Multiple of Numerators i.e. LCM of 22,211,580 is 1346180.

GCF of Denominators means GCF of 838,315,609 as per the given fractions.

GCF of 838,315,609 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,211,580

LCM of Fractions 22/838,211/315,580/609 is 1346180

2 22, 211, 580
11, 211, 290

∴ So the LCM of the given numbers is 2 x 11 x 211 x 290 = 1346180

Least Common Multiple of 22,211,580 with GCF Formula

Least Common Multiple of 22,211,580 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 22,211,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,211,580) = 1

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

GCF(22,211,580) x common factors =1 x 2 = 2

LCM(22,211,580) = ( 22 × 211 × 580 ) / 2

LCM(22,211,580) = 2692360 / 2

LCM(22,211,580) = 1346180


Lets's calculate GCF of 838,315,609

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1346180/1

Therefore the LCM of Fractions 22/838,211/315,580/609 is 1346180

Greatest Common Factor of 838,315,609 By Matching Biggest Common Factor Method

Greatest Common Factor of 838,315,609 By Matching Biggest Common Factor Method

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Greatest Common Factor

We found the factors 838,315,609 . The biggest common factor number is the GCF number.
So the greatest common factor 838,315,609 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 22/838, 211/315, 580/609

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 22/838, 211/315, 580/609?

Answer: LCM of Numerators as per given numbers 22/838, 211/315, 580/609 is

LCM of Numerators i.e. for 22,211,580 is 1346180

GCF of denominators i.e. for 838,315,609 is 1.

Thus, LCM of Fractions is 1346180.Finally, LCM of Fractions for 22/838, 211/315, 580/609 is 1346180.