Least Common Multiple of 73/598, 10/766, 168/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/598, 10/766, 168/441 quickly i.e. 61320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/598, 10/766, 168/441 is 61320.

LCM(73/598, 10/766, 168/441) = 61320

LCM of 73/598, 10/766, 168/441

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 73/598,10/766,168/441

Given numbers are 73/598,10/766,168/441

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 73,10,168

Least Common Multiple of Numerators i.e. LCM of 73,10,168 is 61320.

GCF of Denominators means GCF of 598,766,441 as per the given fractions.

GCF of 598,766,441 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,10,168

LCM of Fractions 73/598,10/766,168/441 is 61320

2 73, 10, 168
73, 5, 84

∴ So the LCM of the given numbers is 2 x 73 x 5 x 84 = 61320

Least Common Multiple of 73,10,168 with GCF Formula

Least Common Multiple of 73,10,168 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 73,10,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,10,168) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(73,10,168) x common factors =1 x 2 = 2

LCM(73,10,168) = ( 73 × 10 × 168 ) / 2

LCM(73,10,168) = 122640 / 2

LCM(73,10,168) = 61320


Lets's calculate GCF of 598,766,441

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61320/1

Therefore the LCM of Fractions 73/598,10/766,168/441 is 61320

Greatest Common Factor of 598,766,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 598,766,441 By Matching Biggest Common Factor Method

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Greatest Common Factor

We found the factors 598,766,441 . The biggest common factor number is the GCF number.
So the greatest common factor 598,766,441 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 73/598, 10/766, 168/441

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 73/598, 10/766, 168/441?

Answer: LCM of Numerators as per given numbers 73/598, 10/766, 168/441 is

LCM of Numerators i.e. for 73,10,168 is 61320

GCF of denominators i.e. for 598,766,441 is 1.

Thus, LCM of Fractions is 61320.Finally, LCM of Fractions for 73/598, 10/766, 168/441 is 61320.