Least Common Multiple of 23/526, 31/863, 450/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/526, 31/863, 450/792 quickly i.e. 320850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/526, 31/863, 450/792 is 320850.

LCM(23/526, 31/863, 450/792) = 320850

LCM of 23/526, 31/863, 450/792

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 23/526,31/863,450/792

Given numbers are 23/526,31/863,450/792

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 23,31,450

Least Common Multiple of Numerators i.e. LCM of 23,31,450 is 320850.

GCF of Denominators means GCF of 526,863,792 as per the given fractions.

GCF of 526,863,792 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,31,450

LCM of Fractions 23/526,31/863,450/792 is 320850

Given numbers has no common factors except 1. So, there LCM is their product i.e 320850

Least Common Multiple of 23,31,450 with GCF Formula

Least Common Multiple of 23,31,450 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 23,31,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,31,450) = 1

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

GCF(23,31,450) x common factors =1 x 1 = 1

LCM(23,31,450) = ( 23 × 31 × 450 ) / 1

LCM(23,31,450) = 320850 / 1

LCM(23,31,450) = 320850


Lets's calculate GCF of 526,863,792

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 320850/1

Therefore the LCM of Fractions 23/526,31/863,450/792 is 320850

Greatest Common Factor of 526,863,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 526,863,792 By Matching Biggest Common Factor Method

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 526,863,792 . The biggest common factor number is the GCF number.
So the greatest common factor 526,863,792 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 23/526, 31/863, 450/792

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 23/526, 31/863, 450/792?

Answer: LCM of Numerators as per given numbers 23/526, 31/863, 450/792 is

LCM of Numerators i.e. for 23,31,450 is 320850

GCF of denominators i.e. for 526,863,792 is 1.

Thus, LCM of Fractions is 320850.Finally, LCM of Fractions for 23/526, 31/863, 450/792 is 320850.