Least Common Multiple of 45/831, 61/178, 447/566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/831, 61/178, 447/566 quickly i.e. 409005 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/831, 61/178, 447/566 is 409005.

LCM(45/831, 61/178, 447/566) = 409005

LCM of 45/831, 61/178, 447/566

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 45/831,61/178,447/566

Given numbers are 45/831,61/178,447/566

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 45,61,447

Least Common Multiple of Numerators i.e. LCM of 45,61,447 is 409005.

GCF of Denominators means GCF of 831,178,566 as per the given fractions.

GCF of 831,178,566 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,61,447

LCM of Fractions 45/831,61/178,447/566 is 409005

3 45, 61, 447
15, 61, 149

∴ So the LCM of the given numbers is 3 x 15 x 61 x 149 = 409005

Least Common Multiple of 45,61,447 with GCF Formula

Least Common Multiple of 45,61,447 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 45,61,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,61,447) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(45,61,447) x common factors =1 x 3 = 3

LCM(45,61,447) = ( 45 × 61 × 447 ) / 3

LCM(45,61,447) = 1227015 / 3

LCM(45,61,447) = 409005


Lets's calculate GCF of 831,178,566

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 409005/1

Therefore the LCM of Fractions 45/831,61/178,447/566 is 409005

Greatest Common Factor of 831,178,566 By Matching Biggest Common Factor Method

Greatest Common Factor of 831,178,566 By Matching Biggest Common Factor Method

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Greatest Common Factor

We found the factors 831,178,566 . The biggest common factor number is the GCF number.
So the greatest common factor 831,178,566 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 45/831, 61/178, 447/566

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 45/831, 61/178, 447/566?

Answer: LCM of Numerators as per given numbers 45/831, 61/178, 447/566 is

LCM of Numerators i.e. for 45,61,447 is 409005

GCF of denominators i.e. for 831,178,566 is 1.

Thus, LCM of Fractions is 409005.Finally, LCM of Fractions for 45/831, 61/178, 447/566 is 409005.