Least Common Multiple of 734/813, 357/129, 906/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 734/813, 357/129, 906/461 quickly i.e. 39567738 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 734/813, 357/129, 906/461 is 39567738.

LCM(734/813, 357/129, 906/461) = 39567738

LCM of 734/813, 357/129, 906/461

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 734/813,357/129,906/461

Given numbers are 734/813,357/129,906/461

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 734,357,906

Least Common Multiple of Numerators i.e. LCM of 734,357,906 is 39567738.

GCF of Denominators means GCF of 813,129,461 as per the given fractions.

GCF of 813,129,461 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 734,357,906

LCM of Fractions 734/813,357/129,906/461 is 39567738

2 734, 357, 906
3 367, 357, 453
367, 119, 151

∴ So the LCM of the given numbers is 2 x 3 x 367 x 119 x 151 = 39567738

Least Common Multiple of 734,357,906 with GCF Formula

Least Common Multiple of 734,357,906 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 734,357,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,357,906) = 1

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

GCF(734,357,906) x common factors =1 x 6 = 6

LCM(734,357,906) = ( 734 × 357 × 906 ) / 6

LCM(734,357,906) = 237406428 / 6

LCM(734,357,906) = 39567738


Lets's calculate GCF of 813,129,461

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39567738/1

Therefore the LCM of Fractions 734/813,357/129,906/461 is 39567738

Greatest Common Factor of 813,129,461 By Matching Biggest Common Factor Method

Greatest Common Factor of 813,129,461 By Matching Biggest Common Factor Method

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Greatest Common Factor

We found the factors 813,129,461 . The biggest common factor number is the GCF number.
So the greatest common factor 813,129,461 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 734/813, 357/129, 906/461

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 734/813, 357/129, 906/461?

Answer: LCM of Numerators as per given numbers 734/813, 357/129, 906/461 is

LCM of Numerators i.e. for 734,357,906 is 39567738

GCF of denominators i.e. for 813,129,461 is 1.

Thus, LCM of Fractions is 39567738.Finally, LCM of Fractions for 734/813, 357/129, 906/461 is 39567738.