Least Common Multiple of 726/633, 502/669, 474/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 726/633, 502/669, 474/320 quickly i.e. 14395854 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 726/633, 502/669, 474/320 is 14395854.

LCM(726/633, 502/669, 474/320) = 14395854

LCM of 726/633, 502/669, 474/320

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 726/633,502/669,474/320

Given numbers are 726/633,502/669,474/320

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 726,502,474

Least Common Multiple of Numerators i.e. LCM of 726,502,474 is 14395854.

GCF of Denominators means GCF of 633,669,320 as per the given fractions.

GCF of 633,669,320 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 726,502,474

LCM of Fractions 726/633,502/669,474/320 is 14395854

2 726, 502, 474
3 363, 251, 237
121, 251, 79

∴ So the LCM of the given numbers is 2 x 3 x 121 x 251 x 79 = 14395854

Least Common Multiple of 726,502,474 with GCF Formula

Least Common Multiple of 726,502,474 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 726,502,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,502,474) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(726,502,474) x common factors =2 x 6 = 12

LCM(726,502,474) = ( 726 × 502 × 474 ) / 12

LCM(726,502,474) = 172750248 / 12

LCM(726,502,474) = 14395854


Lets's calculate GCF of 633,669,320

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14395854/1

Therefore the LCM of Fractions 726/633,502/669,474/320 is 14395854

Greatest Common Factor of 633,669,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 633,669,320 By Matching Biggest Common Factor Method

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 633,669,320 . The biggest common factor number is the GCF number.
So the greatest common factor 633,669,320 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 726/633, 502/669, 474/320

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 726/633, 502/669, 474/320?

Answer: LCM of Numerators as per given numbers 726/633, 502/669, 474/320 is

LCM of Numerators i.e. for 726,502,474 is 14395854

GCF of denominators i.e. for 633,669,320 is 1.

Thus, LCM of Fractions is 14395854.Finally, LCM of Fractions for 726/633, 502/669, 474/320 is 14395854.