Least Common Multiple of 23/172, 34/994, 800/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/172, 34/994, 800/520 quickly i.e. 156400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/172, 34/994, 800/520 is 156400.

LCM(23/172, 34/994, 800/520) = 156400

LCM of 23/172, 34/994, 800/520

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 23/172,34/994,800/520

Given numbers are 23/172,34/994,800/520

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 23,34,800

Least Common Multiple of Numerators i.e. LCM of 23,34,800 is 312800.

GCF of Denominators means GCF of 172,994,520 as per the given fractions.

GCF of 172,994,520 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,34,800

LCM of Fractions 23/172,34/994,800/520 is 156400

2 23, 34, 800
23, 17, 400

∴ So the LCM of the given numbers is 2 x 23 x 17 x 400 = 312800

Least Common Multiple of 23,34,800 with GCF Formula

Least Common Multiple of 23,34,800 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 23,34,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,34,800) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(23,34,800) x common factors =1 x 2 = 2

LCM(23,34,800) = ( 23 × 34 × 800 ) / 2

LCM(23,34,800) = 625600 / 2

LCM(23,34,800) = 312800


Lets's calculate GCF of 172,994,520

2 172, 994, 520
86, 497, 260

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 312800/2

Therefore the LCM of Fractions 23/172,34/994,800/520 is 156400

Greatest Common Factor of 172,994,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 172,994,520 By Matching Biggest Common Factor Method

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 172,994,520 . The biggest common factor number is the GCF number.
So the greatest common factor 172,994,520 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 23/172, 34/994, 800/520

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 23/172, 34/994, 800/520?

Answer: LCM of Numerators as per given numbers 23/172, 34/994, 800/520 is

LCM of Numerators i.e. for 23,34,800 is 312800

GCF of denominators i.e. for 172,994,520 is 2.

Thus, LCM of Fractions is 156400.Finally, LCM of Fractions for 23/172, 34/994, 800/520 is 156400.