Least Common Multiple of 2019/30, 6760/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2019/30, 6760/705 quickly i.e. 909896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2019/30, 6760/705 is 909896.

LCM(2019/30, 6760/705) = 909896

LCM of 2019/30, 6760/705

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 2019/30,6760/705

Given numbers are 2019/30,6760/705

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 2019,6760

Least Common Multiple of Numerators i.e. LCM of 2019,6760 is 13648440.

GCF of Denominators means GCF of 30,705 as per the given fractions.

GCF of 30,705 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2019,6760

LCM of Fractions 2019/30,6760/705 is 909896

Given numbers has no common factors except 1. So, there LCM is their product i.e 13648440

Least Common Multiple of 2019,6760 with GCF Formula

Least Common Multiple of 2019,6760 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 2019,6760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2019,6760) = 1

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

GCF(2019,6760) x common factors =1 x 1 = 1

LCM(2019,6760) = ( 2019 × 6760 ) / 1

LCM(2019,6760) = 13648440 / 1

LCM(2019,6760) = 13648440


Lets's calculate GCF of 30,705

3 30, 705
5 10, 235
2, 47

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13648440/15

Therefore the LCM of Fractions 2019/30,6760/705 is 909896

Greatest Common Factor of 30,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,705 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 30,705 . The biggest common factor number is the GCF number.
So the greatest common factor 30,705 is 15.


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 2019/30, 6760/705

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 2019/30, 6760/705?

Answer: LCM of Numerators as per given numbers 2019/30, 6760/705 is

LCM of Numerators i.e. for 2019,6760 is 13648440

GCF of denominators i.e. for 30,705 is 15.

Thus, LCM of Fractions is 909896.Finally, LCM of Fractions for 2019/30, 6760/705 is 909896.