Least Common Multiple of 73/415, 41/812, 166/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/415, 41/812, 166/724 quickly i.e. 496838 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/415, 41/812, 166/724 is 496838.

LCM(73/415, 41/812, 166/724) = 496838

LCM of 73/415, 41/812, 166/724

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 73/415,41/812,166/724

Given numbers are 73/415,41/812,166/724

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 73,41,166

Least Common Multiple of Numerators i.e. LCM of 73,41,166 is 496838.

GCF of Denominators means GCF of 415,812,724 as per the given fractions.

GCF of 415,812,724 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,41,166

LCM of Fractions 73/415,41/812,166/724 is 496838

Given numbers has no common factors except 1. So, there LCM is their product i.e 496838

Least Common Multiple of 73,41,166 with GCF Formula

Least Common Multiple of 73,41,166 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 73,41,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,41,166) = 1

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

GCF(73,41,166) x common factors =1 x 1 = 1

LCM(73,41,166) = ( 73 × 41 × 166 ) / 1

LCM(73,41,166) = 496838 / 1

LCM(73,41,166) = 496838


Lets's calculate GCF of 415,812,724

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 496838/1

Therefore the LCM of Fractions 73/415,41/812,166/724 is 496838

Greatest Common Factor of 415,812,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 415,812,724 By Matching Biggest Common Factor Method

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 415,812,724 . The biggest common factor number is the GCF number.
So the greatest common factor 415,812,724 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 73/415, 41/812, 166/724

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 73/415, 41/812, 166/724?

Answer: LCM of Numerators as per given numbers 73/415, 41/812, 166/724 is

LCM of Numerators i.e. for 73,41,166 is 496838

GCF of denominators i.e. for 415,812,724 is 1.

Thus, LCM of Fractions is 496838.Finally, LCM of Fractions for 73/415, 41/812, 166/724 is 496838.