Least Common Multiple of 310/78, 270/3002

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 310/78, 270/3002 quickly i.e. 4185 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 310/78, 270/3002 is 4185.

LCM(310/78, 270/3002) = 4185

LCM of 310/78, 270/3002

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 310/78,270/3002

Given numbers are 310/78,270/3002

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 310,270

Least Common Multiple of Numerators i.e. LCM of 310,270 is 8370.

GCF of Denominators means GCF of 78,3002 as per the given fractions.

GCF of 78,3002 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 310,270

LCM of Fractions 310/78,270/3002 is 4185

2 310, 270
5 155, 135
31, 27

∴ So the LCM of the given numbers is 2 x 5 x 31 x 27 = 8370

Least Common Multiple of 310,270 with GCF Formula

Least Common Multiple of 310,270 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 310,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,270) = 10

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

GCF(310,270) x common factors =10 x 1 = 10

LCM(310,270) = ( 310 × 270 ) / 10

LCM(310,270) = 83700 / 10

LCM(310,270) = 8370


Lets's calculate GCF of 78,3002

2 78, 3002
39, 1501

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8370/2

Therefore the LCM of Fractions 310/78,270/3002 is 4185

Greatest Common Factor of 78,3002 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,3002 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 3002

List of positive integer factors of 3002 that divides 3002 without a remainder.

1,2,19,38,79,158,1501,3002

Greatest Common Factor

We found the factors 78,3002 . The biggest common factor number is the GCF number.
So the greatest common factor 78,3002 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 310/78, 270/3002

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 310/78, 270/3002?

Answer: LCM of Numerators as per given numbers 310/78, 270/3002 is

LCM of Numerators i.e. for 310,270 is 8370

GCF of denominators i.e. for 78,3002 is 2.

Thus, LCM of Fractions is 4185.Finally, LCM of Fractions for 310/78, 270/3002 is 4185.