Least Common Multiple of 2010/340, 6219/8976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2010/340, 6219/8976 quickly i.e. 4166730/68 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2010/340, 6219/8976 is 4166730/68.

LCM(2010/340, 6219/8976) = 4166730/68

LCM of 2010/340, 6219/8976

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 2010/340,6219/8976

Given numbers are 2010/340,6219/8976

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 2010,6219

Least Common Multiple of Numerators i.e. LCM of 2010,6219 is 4166730.

GCF of Denominators means GCF of 340,8976 as per the given fractions.

GCF of 340,8976 is 68 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2010,6219

LCM of Fractions 2010/340,6219/8976 is 4166730/68

3 2010, 6219
670, 2073

∴ So the LCM of the given numbers is 3 x 670 x 2073 = 4166730

Least Common Multiple of 2010,6219 with GCF Formula

Least Common Multiple of 2010,6219 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 2010,6219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2010,6219) = 3

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

GCF(2010,6219) x common factors =3 x 1 = 3

LCM(2010,6219) = ( 2010 × 6219 ) / 3

LCM(2010,6219) = 12500190 / 3

LCM(2010,6219) = 4166730


Lets's calculate GCF of 340,8976

2 340, 8976
2 170, 4488
17 85, 2244
5, 132

∴ So the GCF of the given numbers is 2 x 2 x 17 = 68

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4166730/68

Therefore the LCM of Fractions 2010/340,6219/8976 is 4166730/68

Greatest Common Factor of 340,8976 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,8976 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 8976

List of positive integer factors of 8976 that divides 8976 without a remainder.

1,2,3,4,6,8,11,12,16,17,22,24,33,34,44,48,51,66,68,88,102,132,136,176,187,204,264,272,374,408,528,561,748,816,1122,1496,2244,2992,4488,8976

Greatest Common Factor

We found the factors 340,8976 . The biggest common factor number is the GCF number.
So the greatest common factor 340,8976 is 68.


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 2010/340, 6219/8976

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 2010/340, 6219/8976?

Answer: LCM of Numerators as per given numbers 2010/340, 6219/8976 is

LCM of Numerators i.e. for 2010,6219 is 4166730

GCF of denominators i.e. for 340,8976 is 68.

Thus, LCM of Fractions is 4166730/68.Finally, LCM of Fractions for 2010/340, 6219/8976 is 4166730/68.