Least Common Multiple of 10/432, 318/726, 213/929

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/432, 318/726, 213/929 quickly i.e. 112890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/432, 318/726, 213/929 is 112890.

LCM(10/432, 318/726, 213/929) = 112890

LCM of 10/432, 318/726, 213/929

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 10/432,318/726,213/929

Given numbers are 10/432,318/726,213/929

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 10,318,213

Least Common Multiple of Numerators i.e. LCM of 10,318,213 is 112890.

GCF of Denominators means GCF of 432,726,929 as per the given fractions.

GCF of 432,726,929 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,318,213

LCM of Fractions 10/432,318/726,213/929 is 112890

2 10, 318, 213
3 5, 159, 213
5, 53, 71

∴ So the LCM of the given numbers is 2 x 3 x 5 x 53 x 71 = 112890

Least Common Multiple of 10,318,213 with GCF Formula

Least Common Multiple of 10,318,213 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 10,318,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,318,213) = 1

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

GCF(10,318,213) x common factors =1 x 6 = 6

LCM(10,318,213) = ( 10 × 318 × 213 ) / 6

LCM(10,318,213) = 677340 / 6

LCM(10,318,213) = 112890


Lets's calculate GCF of 432,726,929

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112890/1

Therefore the LCM of Fractions 10/432,318/726,213/929 is 112890

Greatest Common Factor of 432,726,929 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,726,929 By Matching Biggest Common Factor Method

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Greatest Common Factor

We found the factors 432,726,929 . The biggest common factor number is the GCF number.
So the greatest common factor 432,726,929 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 10/432, 318/726, 213/929

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 10/432, 318/726, 213/929?

Answer: LCM of Numerators as per given numbers 10/432, 318/726, 213/929 is

LCM of Numerators i.e. for 10,318,213 is 112890

GCF of denominators i.e. for 432,726,929 is 1.

Thus, LCM of Fractions is 112890.Finally, LCM of Fractions for 10/432, 318/726, 213/929 is 112890.