Least Common Multiple of 15/596, 67/586, 278/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/596, 67/586, 278/894 quickly i.e. 139695 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/596, 67/586, 278/894 is 139695.

LCM(15/596, 67/586, 278/894) = 139695

LCM of 15/596, 67/586, 278/894

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 15/596,67/586,278/894

Given numbers are 15/596,67/586,278/894

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 15,67,278

Least Common Multiple of Numerators i.e. LCM of 15,67,278 is 279390.

GCF of Denominators means GCF of 596,586,894 as per the given fractions.

GCF of 596,586,894 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,67,278

LCM of Fractions 15/596,67/586,278/894 is 139695

Given numbers has no common factors except 1. So, there LCM is their product i.e 279390

Least Common Multiple of 15,67,278 with GCF Formula

Least Common Multiple of 15,67,278 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 15,67,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,67,278) = 1

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

GCF(15,67,278) x common factors =1 x 1 = 1

LCM(15,67,278) = ( 15 × 67 × 278 ) / 1

LCM(15,67,278) = 279390 / 1

LCM(15,67,278) = 279390


Lets's calculate GCF of 596,586,894

2 596, 586, 894
298, 293, 447

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 279390/2

Therefore the LCM of Fractions 15/596,67/586,278/894 is 139695

Greatest Common Factor of 596,586,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,586,894 By Matching Biggest Common Factor Method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 596,586,894 . The biggest common factor number is the GCF number.
So the greatest common factor 596,586,894 is 2.


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 15/596, 67/586, 278/894

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 15/596, 67/586, 278/894?

Answer: LCM of Numerators as per given numbers 15/596, 67/586, 278/894 is

LCM of Numerators i.e. for 15,67,278 is 279390

GCF of denominators i.e. for 596,586,894 is 2.

Thus, LCM of Fractions is 139695.Finally, LCM of Fractions for 15/596, 67/586, 278/894 is 139695.