Least Common Multiple of 69/574, 20/476, 212/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/574, 20/476, 212/623 quickly i.e. 73140/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/574, 20/476, 212/623 is 73140/7.

LCM(69/574, 20/476, 212/623) = 73140/7

LCM of 69/574, 20/476, 212/623

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 69/574,20/476,212/623

Given numbers are 69/574,20/476,212/623

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 69,20,212

Least Common Multiple of Numerators i.e. LCM of 69,20,212 is 73140.

GCF of Denominators means GCF of 574,476,623 as per the given fractions.

GCF of 574,476,623 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,20,212

LCM of Fractions 69/574,20/476,212/623 is 73140/7

2 69, 20, 212
2 69, 10, 106
69, 5, 53

∴ So the LCM of the given numbers is 2 x 2 x 69 x 5 x 53 = 73140

Least Common Multiple of 69,20,212 with GCF Formula

Least Common Multiple of 69,20,212 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 69,20,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,20,212) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(69,20,212) x common factors =1 x 4 = 4

LCM(69,20,212) = ( 69 × 20 × 212 ) / 4

LCM(69,20,212) = 292560 / 4

LCM(69,20,212) = 73140


Lets's calculate GCF of 574,476,623

7 574, 476, 623
82, 68, 89

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73140/7

Therefore the LCM of Fractions 69/574,20/476,212/623 is 73140/7

Greatest Common Factor of 574,476,623 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,476,623 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Greatest Common Factor

We found the factors 574,476,623 . The biggest common factor number is the GCF number.
So the greatest common factor 574,476,623 is 7.


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 69/574, 20/476, 212/623

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 69/574, 20/476, 212/623?

Answer: LCM of Numerators as per given numbers 69/574, 20/476, 212/623 is

LCM of Numerators i.e. for 69,20,212 is 73140

GCF of denominators i.e. for 574,476,623 is 7.

Thus, LCM of Fractions is 73140/7.Finally, LCM of Fractions for 69/574, 20/476, 212/623 is 73140/7.