Least Common Multiple of 45/89, 41/529, 976/447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/89, 41/529, 976/447 quickly i.e. 1800720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/89, 41/529, 976/447 is 1800720.

LCM(45/89, 41/529, 976/447) = 1800720

LCM of 45/89, 41/529, 976/447

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 45/89,41/529,976/447

Given numbers are 45/89,41/529,976/447

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 45,41,976

Least Common Multiple of Numerators i.e. LCM of 45,41,976 is 1800720.

GCF of Denominators means GCF of 89,529,447 as per the given fractions.

GCF of 89,529,447 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,41,976

LCM of Fractions 45/89,41/529,976/447 is 1800720

Given numbers has no common factors except 1. So, there LCM is their product i.e 1800720

Least Common Multiple of 45,41,976 with GCF Formula

Least Common Multiple of 45,41,976 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 45,41,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,41,976) = 1

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

GCF(45,41,976) x common factors =1 x 1 = 1

LCM(45,41,976) = ( 45 × 41 × 976 ) / 1

LCM(45,41,976) = 1800720 / 1

LCM(45,41,976) = 1800720


Lets's calculate GCF of 89,529,447

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1800720/1

Therefore the LCM of Fractions 45/89,41/529,976/447 is 1800720

Greatest Common Factor of 89,529,447 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,529,447 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Greatest Common Factor

We found the factors 89,529,447 . The biggest common factor number is the GCF number.
So the greatest common factor 89,529,447 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 45/89, 41/529, 976/447

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 45/89, 41/529, 976/447?

Answer: LCM of Numerators as per given numbers 45/89, 41/529, 976/447 is

LCM of Numerators i.e. for 45,41,976 is 1800720

GCF of denominators i.e. for 89,529,447 is 1.

Thus, LCM of Fractions is 1800720.Finally, LCM of Fractions for 45/89, 41/529, 976/447 is 1800720.