Least Common Multiple of 814/72, 907/87, 233/650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 814/72, 907/87, 233/650 quickly i.e. 172023434 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 814/72, 907/87, 233/650 is 172023434.

LCM(814/72, 907/87, 233/650) = 172023434

LCM of 814/72, 907/87, 233/650

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 814/72,907/87,233/650

Given numbers are 814/72,907/87,233/650

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 814,907,233

Least Common Multiple of Numerators i.e. LCM of 814,907,233 is 172023434.

GCF of Denominators means GCF of 72,87,650 as per the given fractions.

GCF of 72,87,650 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 814,907,233

LCM of Fractions 814/72,907/87,233/650 is 172023434

Given numbers has no common factors except 1. So, there LCM is their product i.e 172023434

Least Common Multiple of 814,907,233 with GCF Formula

Least Common Multiple of 814,907,233 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 814,907,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,907,233) = 1

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

GCF(814,907,233) x common factors =1 x 1 = 1

LCM(814,907,233) = ( 814 × 907 × 233 ) / 1

LCM(814,907,233) = 172023434 / 1

LCM(814,907,233) = 172023434


Lets's calculate GCF of 72,87,650

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 172023434/1

Therefore the LCM of Fractions 814/72,907/87,233/650 is 172023434

Greatest Common Factor of 72,87,650 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,87,650 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 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Greatest Common Factor

We found the factors 72,87,650 . The biggest common factor number is the GCF number.
So the greatest common factor 72,87,650 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 814/72, 907/87, 233/650

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 814/72, 907/87, 233/650?

Answer: LCM of Numerators as per given numbers 814/72, 907/87, 233/650 is

LCM of Numerators i.e. for 814,907,233 is 172023434

GCF of denominators i.e. for 72,87,650 is 1.

Thus, LCM of Fractions is 172023434.Finally, LCM of Fractions for 814/72, 907/87, 233/650 is 172023434.