Least Common Multiple of 45/523, 98/416, 405/161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/523, 98/416, 405/161 quickly i.e. 39690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/523, 98/416, 405/161 is 39690.

LCM(45/523, 98/416, 405/161) = 39690

LCM of 45/523, 98/416, 405/161

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 45/523,98/416,405/161

Given numbers are 45/523,98/416,405/161

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 45,98,405

Least Common Multiple of Numerators i.e. LCM of 45,98,405 is 39690.

GCF of Denominators means GCF of 523,416,161 as per the given fractions.

GCF of 523,416,161 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,98,405

LCM of Fractions 45/523,98/416,405/161 is 39690

3 45, 98, 405
3 15, 98, 135
5 5, 98, 45
1, 98, 9

∴ So the LCM of the given numbers is 3 x 3 x 5 x 1 x 98 x 9 = 39690

Least Common Multiple of 45,98,405 with GCF Formula

Least Common Multiple of 45,98,405 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 45,98,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,98,405) = 1

common factors(in case of two or more numbers have common factors) = 45

GCF(45,98,405) x common factors =1 x 45 = 45

LCM(45,98,405) = ( 45 × 98 × 405 ) / 45

LCM(45,98,405) = 1786050 / 45

LCM(45,98,405) = 39690


Lets's calculate GCF of 523,416,161

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39690/1

Therefore the LCM of Fractions 45/523,98/416,405/161 is 39690

Greatest Common Factor of 523,416,161 By Matching Biggest Common Factor Method

Greatest Common Factor of 523,416,161 By Matching Biggest Common Factor Method

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Greatest Common Factor

We found the factors 523,416,161 . The biggest common factor number is the GCF number.
So the greatest common factor 523,416,161 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 45/523, 98/416, 405/161

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 45/523, 98/416, 405/161?

Answer: LCM of Numerators as per given numbers 45/523, 98/416, 405/161 is

LCM of Numerators i.e. for 45,98,405 is 39690

GCF of denominators i.e. for 523,416,161 is 1.

Thus, LCM of Fractions is 39690.Finally, LCM of Fractions for 45/523, 98/416, 405/161 is 39690.