Least Common Multiple of 800/140, 904/230, 929/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 800/140, 904/230, 929/344 quickly i.e. 41990800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 800/140, 904/230, 929/344 is 41990800.

LCM(800/140, 904/230, 929/344) = 41990800

LCM of 800/140, 904/230, 929/344

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 800/140,904/230,929/344

Given numbers are 800/140,904/230,929/344

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 800,904,929

Least Common Multiple of Numerators i.e. LCM of 800,904,929 is 83981600.

GCF of Denominators means GCF of 140,230,344 as per the given fractions.

GCF of 140,230,344 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 800,904,929

LCM of Fractions 800/140,904/230,929/344 is 41990800

2 800, 904, 929
2 400, 452, 929
2 200, 226, 929
100, 113, 929

∴ So the LCM of the given numbers is 2 x 2 x 2 x 100 x 113 x 929 = 83981600

Least Common Multiple of 800,904,929 with GCF Formula

Least Common Multiple of 800,904,929 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 800,904,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,904,929) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(800,904,929) x common factors =1 x 8 = 8

LCM(800,904,929) = ( 800 × 904 × 929 ) / 8

LCM(800,904,929) = 671852800 / 8

LCM(800,904,929) = 83981600


Lets's calculate GCF of 140,230,344

2 140, 230, 344
70, 115, 172

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83981600/2

Therefore the LCM of Fractions 800/140,904/230,929/344 is 41990800

Greatest Common Factor of 140,230,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,230,344 By Matching Biggest Common Factor Method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 140,230,344 . The biggest common factor number is the GCF number.
So the greatest common factor 140,230,344 is 2.


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 800/140, 904/230, 929/344

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 800/140, 904/230, 929/344?

Answer: LCM of Numerators as per given numbers 800/140, 904/230, 929/344 is

LCM of Numerators i.e. for 800,904,929 is 83981600

GCF of denominators i.e. for 140,230,344 is 2.

Thus, LCM of Fractions is 41990800.Finally, LCM of Fractions for 800/140, 904/230, 929/344 is 41990800.