Least Common Multiple of 17/405, 948/121, 149/179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/405, 948/121, 149/179 quickly i.e. 2401284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/405, 948/121, 149/179 is 2401284.

LCM(17/405, 948/121, 149/179) = 2401284

LCM of 17/405, 948/121, 149/179

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 17/405,948/121,149/179

Given numbers are 17/405,948/121,149/179

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 17,948,149

Least Common Multiple of Numerators i.e. LCM of 17,948,149 is 2401284.

GCF of Denominators means GCF of 405,121,179 as per the given fractions.

GCF of 405,121,179 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,948,149

LCM of Fractions 17/405,948/121,149/179 is 2401284

Given numbers has no common factors except 1. So, there LCM is their product i.e 2401284

Least Common Multiple of 17,948,149 with GCF Formula

Least Common Multiple of 17,948,149 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 17,948,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,948,149) = 1

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

GCF(17,948,149) x common factors =1 x 1 = 1

LCM(17,948,149) = ( 17 × 948 × 149 ) / 1

LCM(17,948,149) = 2401284 / 1

LCM(17,948,149) = 2401284


Lets's calculate GCF of 405,121,179

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2401284/1

Therefore the LCM of Fractions 17/405,948/121,149/179 is 2401284

Greatest Common Factor of 405,121,179 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,121,179 By Matching Biggest Common Factor Method

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Factors of 179

List of positive integer factors of 179 that divides 179 without a remainder.

1,179

Greatest Common Factor

We found the factors 405,121,179 . The biggest common factor number is the GCF number.
So the greatest common factor 405,121,179 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 17/405, 948/121, 149/179

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 17/405, 948/121, 149/179?

Answer: LCM of Numerators as per given numbers 17/405, 948/121, 149/179 is

LCM of Numerators i.e. for 17,948,149 is 2401284

GCF of denominators i.e. for 405,121,179 is 1.

Thus, LCM of Fractions is 2401284.Finally, LCM of Fractions for 17/405, 948/121, 149/179 is 2401284.