Least Common Multiple of 22/412, 508/475, 209/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/412, 508/475, 209/504 quickly i.e. 106172 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/412, 508/475, 209/504 is 106172.

LCM(22/412, 508/475, 209/504) = 106172

LCM of 22/412, 508/475, 209/504

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 22/412,508/475,209/504

Given numbers are 22/412,508/475,209/504

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 22,508,209

Least Common Multiple of Numerators i.e. LCM of 22,508,209 is 106172.

GCF of Denominators means GCF of 412,475,504 as per the given fractions.

GCF of 412,475,504 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,508,209

LCM of Fractions 22/412,508/475,209/504 is 106172

2 22, 508, 209
11 11, 254, 209
1, 254, 19

∴ So the LCM of the given numbers is 2 x 11 x 1 x 254 x 19 = 106172

Least Common Multiple of 22,508,209 with GCF Formula

Least Common Multiple of 22,508,209 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 22,508,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,508,209) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(22,508,209) x common factors =1 x 22 = 22

LCM(22,508,209) = ( 22 × 508 × 209 ) / 22

LCM(22,508,209) = 2335784 / 22

LCM(22,508,209) = 106172


Lets's calculate GCF of 412,475,504

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106172/1

Therefore the LCM of Fractions 22/412,508/475,209/504 is 106172

Greatest Common Factor of 412,475,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 412,475,504 By Matching Biggest Common Factor Method

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 412,475,504 . The biggest common factor number is the GCF number.
So the greatest common factor 412,475,504 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 22/412, 508/475, 209/504

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 22/412, 508/475, 209/504?

Answer: LCM of Numerators as per given numbers 22/412, 508/475, 209/504 is

LCM of Numerators i.e. for 22,508,209 is 106172

GCF of denominators i.e. for 412,475,504 is 1.

Thus, LCM of Fractions is 106172.Finally, LCM of Fractions for 22/412, 508/475, 209/504 is 106172.