Least Common Multiple of 34/72, 518/26, 864/250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/72, 518/26, 864/250 quickly i.e. 1902096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/72, 518/26, 864/250 is 1902096.

LCM(34/72, 518/26, 864/250) = 1902096

LCM of 34/72, 518/26, 864/250

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 34/72,518/26,864/250

Given numbers are 34/72,518/26,864/250

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 34,518,864

Least Common Multiple of Numerators i.e. LCM of 34,518,864 is 3804192.

GCF of Denominators means GCF of 72,26,250 as per the given fractions.

GCF of 72,26,250 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,518,864

LCM of Fractions 34/72,518/26,864/250 is 1902096

2 34, 518, 864
17, 259, 432

∴ So the LCM of the given numbers is 2 x 17 x 259 x 432 = 3804192

Least Common Multiple of 34,518,864 with GCF Formula

Least Common Multiple of 34,518,864 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 34,518,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,518,864) = 2

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

GCF(34,518,864) x common factors =2 x 2 = 4

LCM(34,518,864) = ( 34 × 518 × 864 ) / 4

LCM(34,518,864) = 15216768 / 4

LCM(34,518,864) = 3804192


Lets's calculate GCF of 72,26,250

2 72, 26, 250
36, 13, 125

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3804192/2

Therefore the LCM of Fractions 34/72,518/26,864/250 is 1902096

Greatest Common Factor of 72,26,250 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,26,250 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Greatest Common Factor

We found the factors 72,26,250 . The biggest common factor number is the GCF number.
So the greatest common factor 72,26,250 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 34/72, 518/26, 864/250

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 34/72, 518/26, 864/250?

Answer: LCM of Numerators as per given numbers 34/72, 518/26, 864/250 is

LCM of Numerators i.e. for 34,518,864 is 3804192

GCF of denominators i.e. for 72,26,250 is 2.

Thus, LCM of Fractions is 1902096.Finally, LCM of Fractions for 34/72, 518/26, 864/250 is 1902096.