Least Common Multiple of 29/726, 649/71, 343/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/726, 649/71, 343/454 quickly i.e. 6455603 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/726, 649/71, 343/454 is 6455603.

LCM(29/726, 649/71, 343/454) = 6455603

LCM of 29/726, 649/71, 343/454

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 29/726,649/71,343/454

Given numbers are 29/726,649/71,343/454

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 29,649,343

Least Common Multiple of Numerators i.e. LCM of 29,649,343 is 6455603.

GCF of Denominators means GCF of 726,71,454 as per the given fractions.

GCF of 726,71,454 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,649,343

LCM of Fractions 29/726,649/71,343/454 is 6455603

Given numbers has no common factors except 1. So, there LCM is their product i.e 6455603

Least Common Multiple of 29,649,343 with GCF Formula

Least Common Multiple of 29,649,343 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 29,649,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,649,343) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(29,649,343) x common factors =1 x 1 = 1

LCM(29,649,343) = ( 29 × 649 × 343 ) / 1

LCM(29,649,343) = 6455603 / 1

LCM(29,649,343) = 6455603


Lets's calculate GCF of 726,71,454

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6455603/1

Therefore the LCM of Fractions 29/726,649/71,343/454 is 6455603

Greatest Common Factor of 726,71,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,71,454 By Matching Biggest Common Factor Method

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 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Greatest Common Factor

We found the factors 726,71,454 . The biggest common factor number is the GCF number.
So the greatest common factor 726,71,454 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 29/726, 649/71, 343/454

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 29/726, 649/71, 343/454?

Answer: LCM of Numerators as per given numbers 29/726, 649/71, 343/454 is

LCM of Numerators i.e. for 29,649,343 is 6455603

GCF of denominators i.e. for 726,71,454 is 1.

Thus, LCM of Fractions is 6455603.Finally, LCM of Fractions for 29/726, 649/71, 343/454 is 6455603.