Least Common Multiple of 26/64, 800/29, 355/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/64, 800/29, 355/999 quickly i.e. 738400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/64, 800/29, 355/999 is 738400.

LCM(26/64, 800/29, 355/999) = 738400

LCM of 26/64, 800/29, 355/999

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 26/64,800/29,355/999

Given numbers are 26/64,800/29,355/999

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 26,800,355

Least Common Multiple of Numerators i.e. LCM of 26,800,355 is 738400.

GCF of Denominators means GCF of 64,29,999 as per the given fractions.

GCF of 64,29,999 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,800,355

LCM of Fractions 26/64,800/29,355/999 is 738400

2 26, 800, 355
5 13, 400, 355
13, 80, 71

∴ So the LCM of the given numbers is 2 x 5 x 13 x 80 x 71 = 738400

Least Common Multiple of 26,800,355 with GCF Formula

Least Common Multiple of 26,800,355 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 26,800,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,800,355) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(26,800,355) x common factors =1 x 10 = 10

LCM(26,800,355) = ( 26 × 800 × 355 ) / 10

LCM(26,800,355) = 7384000 / 10

LCM(26,800,355) = 738400


Lets's calculate GCF of 64,29,999

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 738400/1

Therefore the LCM of Fractions 26/64,800/29,355/999 is 738400

Greatest Common Factor of 64,29,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,29,999 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 64,29,999 . The biggest common factor number is the GCF number.
So the greatest common factor 64,29,999 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 26/64, 800/29, 355/999

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 26/64, 800/29, 355/999?

Answer: LCM of Numerators as per given numbers 26/64, 800/29, 355/999 is

LCM of Numerators i.e. for 26,800,355 is 738400

GCF of denominators i.e. for 64,29,999 is 1.

Thus, LCM of Fractions is 738400.Finally, LCM of Fractions for 26/64, 800/29, 355/999 is 738400.