Least Common Multiple of 3/171, 31/117, 45/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/171, 31/117, 45/458 quickly i.e. 1395 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/171, 31/117, 45/458 is 1395.

LCM(3/171, 31/117, 45/458) = 1395

LCM of 3/171, 31/117, 45/458

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 3/171,31/117,45/458

Given numbers are 3/171,31/117,45/458

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 3,31,45

Least Common Multiple of Numerators i.e. LCM of 3,31,45 is 1395.

GCF of Denominators means GCF of 171,117,458 as per the given fractions.

GCF of 171,117,458 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,31,45

LCM of Fractions 3/171,31/117,45/458 is 1395

3 3, 31, 45
1, 31, 15

∴ So the LCM of the given numbers is 3 x 1 x 31 x 15 = 1395

Least Common Multiple of 3,31,45 with GCF Formula

Least Common Multiple of 3,31,45 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 3,31,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,31,45) = 1

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

GCF(3,31,45) x common factors =1 x 3 = 3

LCM(3,31,45) = ( 3 × 31 × 45 ) / 3

LCM(3,31,45) = 4185 / 3

LCM(3,31,45) = 1395


Lets's calculate GCF of 171,117,458

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1395/1

Therefore the LCM of Fractions 3/171,31/117,45/458 is 1395

Greatest Common Factor of 171,117,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,117,458 By Matching Biggest Common Factor Method

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 171,117,458 . The biggest common factor number is the GCF number.
So the greatest common factor 171,117,458 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 3/171, 31/117, 45/458

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 3/171, 31/117, 45/458?

Answer: LCM of Numerators as per given numbers 3/171, 31/117, 45/458 is

LCM of Numerators i.e. for 3,31,45 is 1395

GCF of denominators i.e. for 171,117,458 is 1.

Thus, LCM of Fractions is 1395.Finally, LCM of Fractions for 3/171, 31/117, 45/458 is 1395.