Least Common Multiple of 89/433, 72/324, 821/851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/433, 72/324, 821/851 quickly i.e. 5260968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/433, 72/324, 821/851 is 5260968.

LCM(89/433, 72/324, 821/851) = 5260968

LCM of 89/433, 72/324, 821/851

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 89/433,72/324,821/851

Given numbers are 89/433,72/324,821/851

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 89,72,821

Least Common Multiple of Numerators i.e. LCM of 89,72,821 is 5260968.

GCF of Denominators means GCF of 433,324,851 as per the given fractions.

GCF of 433,324,851 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,72,821

LCM of Fractions 89/433,72/324,821/851 is 5260968

Given numbers has no common factors except 1. So, there LCM is their product i.e 5260968

Least Common Multiple of 89,72,821 with GCF Formula

Least Common Multiple of 89,72,821 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 89,72,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,72,821) = 1

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

GCF(89,72,821) x common factors =1 x 1 = 1

LCM(89,72,821) = ( 89 × 72 × 821 ) / 1

LCM(89,72,821) = 5260968 / 1

LCM(89,72,821) = 5260968


Lets's calculate GCF of 433,324,851

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5260968/1

Therefore the LCM of Fractions 89/433,72/324,821/851 is 5260968

Greatest Common Factor of 433,324,851 By Matching Biggest Common Factor Method

Greatest Common Factor of 433,324,851 By Matching Biggest Common Factor Method

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Greatest Common Factor

We found the factors 433,324,851 . The biggest common factor number is the GCF number.
So the greatest common factor 433,324,851 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 89/433, 72/324, 821/851

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 89/433, 72/324, 821/851?

Answer: LCM of Numerators as per given numbers 89/433, 72/324, 821/851 is

LCM of Numerators i.e. for 89,72,821 is 5260968

GCF of denominators i.e. for 433,324,851 is 1.

Thus, LCM of Fractions is 5260968.Finally, LCM of Fractions for 89/433, 72/324, 821/851 is 5260968.