Least Common Multiple of 482/707, 716/713, 556/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 482/707, 716/713, 556/252 quickly i.e. 23985284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 482/707, 716/713, 556/252 is 23985284.

LCM(482/707, 716/713, 556/252) = 23985284

LCM of 482/707, 716/713, 556/252

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 482/707,716/713,556/252

Given numbers are 482/707,716/713,556/252

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 482,716,556

Least Common Multiple of Numerators i.e. LCM of 482,716,556 is 23985284.

GCF of Denominators means GCF of 707,713,252 as per the given fractions.

GCF of 707,713,252 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 482,716,556

LCM of Fractions 482/707,716/713,556/252 is 23985284

2 482, 716, 556
2 241, 358, 278
241, 179, 139

∴ So the LCM of the given numbers is 2 x 2 x 241 x 179 x 139 = 23985284

Least Common Multiple of 482,716,556 with GCF Formula

Least Common Multiple of 482,716,556 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 482,716,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(482,716,556) = 2

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

GCF(482,716,556) x common factors =2 x 4 = 8

LCM(482,716,556) = ( 482 × 716 × 556 ) / 8

LCM(482,716,556) = 191882272 / 8

LCM(482,716,556) = 23985284


Lets's calculate GCF of 707,713,252

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23985284/1

Therefore the LCM of Fractions 482/707,716/713,556/252 is 23985284

Greatest Common Factor of 707,713,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 707,713,252 By Matching Biggest Common Factor Method

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 707,713,252 . The biggest common factor number is the GCF number.
So the greatest common factor 707,713,252 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 482/707, 716/713, 556/252

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 482/707, 716/713, 556/252?

Answer: LCM of Numerators as per given numbers 482/707, 716/713, 556/252 is

LCM of Numerators i.e. for 482,716,556 is 23985284

GCF of denominators i.e. for 707,713,252 is 1.

Thus, LCM of Fractions is 23985284.Finally, LCM of Fractions for 482/707, 716/713, 556/252 is 23985284.