Least Common Multiple of 361/14, 659/23, 460/31

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 361/14, 659/23, 460/31 quickly i.e. 109433540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 361/14, 659/23, 460/31 is 109433540.

LCM(361/14, 659/23, 460/31) = 109433540

LCM of 361/14, 659/23, 460/31

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 361/14,659/23,460/31

Given numbers are 361/14,659/23,460/31

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 361,659,460

Least Common Multiple of Numerators i.e. LCM of 361,659,460 is 109433540.

GCF of Denominators means GCF of 14,23,31 as per the given fractions.

GCF of 14,23,31 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 361,659,460

LCM of Fractions 361/14,659/23,460/31 is 109433540

Given numbers has no common factors except 1. So, there LCM is their product i.e 109433540

Least Common Multiple of 361,659,460 with GCF Formula

Least Common Multiple of 361,659,460 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 361,659,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(361,659,460) = 1

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

GCF(361,659,460) x common factors =1 x 1 = 1

LCM(361,659,460) = ( 361 × 659 × 460 ) / 1

LCM(361,659,460) = 109433540 / 1

LCM(361,659,460) = 109433540


Lets's calculate GCF of 14,23,31

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109433540/1

Therefore the LCM of Fractions 361/14,659/23,460/31 is 109433540

Greatest Common Factor of 14,23,31 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,23,31 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Greatest Common Factor

We found the factors 14,23,31 . The biggest common factor number is the GCF number.
So the greatest common factor 14,23,31 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 361/14, 659/23, 460/31

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 361/14, 659/23, 460/31?

Answer: LCM of Numerators as per given numbers 361/14, 659/23, 460/31 is

LCM of Numerators i.e. for 361,659,460 is 109433540

GCF of denominators i.e. for 14,23,31 is 1.

Thus, LCM of Fractions is 109433540.Finally, LCM of Fractions for 361/14, 659/23, 460/31 is 109433540.