Least Common Multiple of 15/315, 93/346, 392/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/315, 93/346, 392/715 quickly i.e. 182280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/315, 93/346, 392/715 is 182280.

LCM(15/315, 93/346, 392/715) = 182280

LCM of 15/315, 93/346, 392/715

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 15/315,93/346,392/715

Given numbers are 15/315,93/346,392/715

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 15,93,392

Least Common Multiple of Numerators i.e. LCM of 15,93,392 is 182280.

GCF of Denominators means GCF of 315,346,715 as per the given fractions.

GCF of 315,346,715 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,93,392

LCM of Fractions 15/315,93/346,392/715 is 182280

3 15, 93, 392
5, 31, 392

∴ So the LCM of the given numbers is 3 x 5 x 31 x 392 = 182280

Least Common Multiple of 15,93,392 with GCF Formula

Least Common Multiple of 15,93,392 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 15,93,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,93,392) = 1

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

GCF(15,93,392) x common factors =1 x 3 = 3

LCM(15,93,392) = ( 15 × 93 × 392 ) / 3

LCM(15,93,392) = 546840 / 3

LCM(15,93,392) = 182280


Lets's calculate GCF of 315,346,715

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182280/1

Therefore the LCM of Fractions 15/315,93/346,392/715 is 182280

Greatest Common Factor of 315,346,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 315,346,715 By Matching Biggest Common Factor Method

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 315,346,715 . The biggest common factor number is the GCF number.
So the greatest common factor 315,346,715 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 15/315, 93/346, 392/715

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 15/315, 93/346, 392/715?

Answer: LCM of Numerators as per given numbers 15/315, 93/346, 392/715 is

LCM of Numerators i.e. for 15,93,392 is 182280

GCF of denominators i.e. for 315,346,715 is 1.

Thus, LCM of Fractions is 182280.Finally, LCM of Fractions for 15/315, 93/346, 392/715 is 182280.