Least Common Multiple of 6919/306, 7038/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6919/306, 7038/180 quickly i.e. 159137 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6919/306, 7038/180 is 159137.

LCM(6919/306, 7038/180) = 159137

LCM of 6919/306, 7038/180

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 6919/306,7038/180

Given numbers are 6919/306,7038/180

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 6919,7038

Least Common Multiple of Numerators i.e. LCM of 6919,7038 is 2864466.

GCF of Denominators means GCF of 306,180 as per the given fractions.

GCF of 306,180 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6919,7038

LCM of Fractions 6919/306,7038/180 is 159137

17 6919, 7038
407, 414

∴ So the LCM of the given numbers is 17 x 407 x 414 = 2864466

Least Common Multiple of 6919,7038 with GCF Formula

Least Common Multiple of 6919,7038 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 6919,7038 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6919,7038) = 17

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

GCF(6919,7038) x common factors =17 x 1 = 17

LCM(6919,7038) = ( 6919 × 7038 ) / 17

LCM(6919,7038) = 48695922 / 17

LCM(6919,7038) = 2864466


Lets's calculate GCF of 306,180

2 306, 180
3 153, 90
3 51, 30
17, 10

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2864466/18

Therefore the LCM of Fractions 6919/306,7038/180 is 159137

Greatest Common Factor of 306,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,180 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 306,180 . The biggest common factor number is the GCF number.
So the greatest common factor 306,180 is 18.


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 6919/306, 7038/180

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 6919/306, 7038/180?

Answer: LCM of Numerators as per given numbers 6919/306, 7038/180 is

LCM of Numerators i.e. for 6919,7038 is 2864466

GCF of denominators i.e. for 306,180 is 18.

Thus, LCM of Fractions is 159137.Finally, LCM of Fractions for 6919/306, 7038/180 is 159137.