Least Common Multiple of 15/295, 37/366, 462/439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/295, 37/366, 462/439 quickly i.e. 85470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/295, 37/366, 462/439 is 85470.

LCM(15/295, 37/366, 462/439) = 85470

LCM of 15/295, 37/366, 462/439

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 15/295,37/366,462/439

Given numbers are 15/295,37/366,462/439

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 15,37,462

Least Common Multiple of Numerators i.e. LCM of 15,37,462 is 85470.

GCF of Denominators means GCF of 295,366,439 as per the given fractions.

GCF of 295,366,439 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,37,462

LCM of Fractions 15/295,37/366,462/439 is 85470

3 15, 37, 462
5, 37, 154

∴ So the LCM of the given numbers is 3 x 5 x 37 x 154 = 85470

Least Common Multiple of 15,37,462 with GCF Formula

Least Common Multiple of 15,37,462 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 15,37,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,37,462) = 1

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

GCF(15,37,462) x common factors =1 x 3 = 3

LCM(15,37,462) = ( 15 × 37 × 462 ) / 3

LCM(15,37,462) = 256410 / 3

LCM(15,37,462) = 85470


Lets's calculate GCF of 295,366,439

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85470/1

Therefore the LCM of Fractions 15/295,37/366,462/439 is 85470

Greatest Common Factor of 295,366,439 By Matching Biggest Common Factor Method

Greatest Common Factor of 295,366,439 By Matching Biggest Common Factor Method

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Greatest Common Factor

We found the factors 295,366,439 . The biggest common factor number is the GCF number.
So the greatest common factor 295,366,439 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 15/295, 37/366, 462/439

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 15/295, 37/366, 462/439?

Answer: LCM of Numerators as per given numbers 15/295, 37/366, 462/439 is

LCM of Numerators i.e. for 15,37,462 is 85470

GCF of denominators i.e. for 295,366,439 is 1.

Thus, LCM of Fractions is 85470.Finally, LCM of Fractions for 15/295, 37/366, 462/439 is 85470.