Least Common Multiple of 62/471, 52/476, 213/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 62/471, 52/476, 213/254 quickly i.e. 343356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/471, 52/476, 213/254 is 343356.

LCM(62/471, 52/476, 213/254) = 343356

LCM of 62/471, 52/476, 213/254

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 62/471,52/476,213/254

Given numbers are 62/471,52/476,213/254

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 62,52,213

Least Common Multiple of Numerators i.e. LCM of 62,52,213 is 343356.

GCF of Denominators means GCF of 471,476,254 as per the given fractions.

GCF of 471,476,254 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,52,213

LCM of Fractions 62/471,52/476,213/254 is 343356

2 62, 52, 213
31, 26, 213

∴ So the LCM of the given numbers is 2 x 31 x 26 x 213 = 343356

Least Common Multiple of 62,52,213 with GCF Formula

Least Common Multiple of 62,52,213 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 62,52,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,52,213) = 1

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

GCF(62,52,213) x common factors =1 x 2 = 2

LCM(62,52,213) = ( 62 × 52 × 213 ) / 2

LCM(62,52,213) = 686712 / 2

LCM(62,52,213) = 343356


Lets's calculate GCF of 471,476,254

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 343356/1

Therefore the LCM of Fractions 62/471,52/476,213/254 is 343356

Greatest Common Factor of 471,476,254 By Matching Biggest Common Factor Method

Greatest Common Factor of 471,476,254 By Matching Biggest Common Factor Method

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

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 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Greatest Common Factor

We found the factors 471,476,254 . The biggest common factor number is the GCF number.
So the greatest common factor 471,476,254 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 62/471, 52/476, 213/254

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 62/471, 52/476, 213/254?

Answer: LCM of Numerators as per given numbers 62/471, 52/476, 213/254 is

LCM of Numerators i.e. for 62,52,213 is 343356

GCF of denominators i.e. for 471,476,254 is 1.

Thus, LCM of Fractions is 343356.Finally, LCM of Fractions for 62/471, 52/476, 213/254 is 343356.