Least Common Multiple of 3016/78, 3606/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3016/78, 3606/270 quickly i.e. 906308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3016/78, 3606/270 is 906308.

LCM(3016/78, 3606/270) = 906308

LCM of 3016/78, 3606/270

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 3016/78,3606/270

Given numbers are 3016/78,3606/270

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 3016,3606

Least Common Multiple of Numerators i.e. LCM of 3016,3606 is 5437848.

GCF of Denominators means GCF of 78,270 as per the given fractions.

GCF of 78,270 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3016,3606

LCM of Fractions 3016/78,3606/270 is 906308

2 3016, 3606
1508, 1803

∴ So the LCM of the given numbers is 2 x 1508 x 1803 = 5437848

Least Common Multiple of 3016,3606 with GCF Formula

Least Common Multiple of 3016,3606 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 3016,3606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3016,3606) = 2

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

GCF(3016,3606) x common factors =2 x 1 = 2

LCM(3016,3606) = ( 3016 × 3606 ) / 2

LCM(3016,3606) = 10875696 / 2

LCM(3016,3606) = 5437848


Lets's calculate GCF of 78,270

2 78, 270
3 39, 135
13, 45

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5437848/6

Therefore the LCM of Fractions 3016/78,3606/270 is 906308

Greatest Common Factor of 78,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,270 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 78,270 . The biggest common factor number is the GCF number.
So the greatest common factor 78,270 is 6.


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 3016/78, 3606/270

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 3016/78, 3606/270?

Answer: LCM of Numerators as per given numbers 3016/78, 3606/270 is

LCM of Numerators i.e. for 3016,3606 is 5437848

GCF of denominators i.e. for 78,270 is 6.

Thus, LCM of Fractions is 906308.Finally, LCM of Fractions for 3016/78, 3606/270 is 906308.