Least Common Multiple of 2015/68, 4218/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2015/68, 4218/849 quickly i.e. 8499270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2015/68, 4218/849 is 8499270.

LCM(2015/68, 4218/849) = 8499270

LCM of 2015/68, 4218/849

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 2015/68,4218/849

Given numbers are 2015/68,4218/849

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 2015,4218

Least Common Multiple of Numerators i.e. LCM of 2015,4218 is 8499270.

GCF of Denominators means GCF of 68,849 as per the given fractions.

GCF of 68,849 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2015,4218

LCM of Fractions 2015/68,4218/849 is 8499270

Given numbers has no common factors except 1. So, there LCM is their product i.e 8499270

Least Common Multiple of 2015,4218 with GCF Formula

Least Common Multiple of 2015,4218 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 2015,4218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2015,4218) = 1

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

GCF(2015,4218) x common factors =1 x 1 = 1

LCM(2015,4218) = ( 2015 × 4218 ) / 1

LCM(2015,4218) = 8499270 / 1

LCM(2015,4218) = 8499270


Lets's calculate GCF of 68,849

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8499270/1

Therefore the LCM of Fractions 2015/68,4218/849 is 8499270

Greatest Common Factor of 68,849 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,849 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Greatest Common Factor

We found the factors 68,849 . The biggest common factor number is the GCF number.
So the greatest common factor 68,849 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2015/68, 4218/849

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 2015/68, 4218/849?

Answer: LCM of Numerators as per given numbers 2015/68, 4218/849 is

LCM of Numerators i.e. for 2015,4218 is 8499270

GCF of denominators i.e. for 68,849 is 1.

Thus, LCM of Fractions is 8499270.Finally, LCM of Fractions for 2015/68, 4218/849 is 8499270.