Least Common Multiple of 6/180, 19/313, 70/935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/180, 19/313, 70/935 quickly i.e. 3990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/180, 19/313, 70/935 is 3990.

LCM(6/180, 19/313, 70/935) = 3990

LCM of 6/180, 19/313, 70/935

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 6/180,19/313,70/935

Given numbers are 6/180,19/313,70/935

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 6,19,70

Least Common Multiple of Numerators i.e. LCM of 6,19,70 is 3990.

GCF of Denominators means GCF of 180,313,935 as per the given fractions.

GCF of 180,313,935 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,19,70

LCM of Fractions 6/180,19/313,70/935 is 3990

2 6, 19, 70
3, 19, 35

∴ So the LCM of the given numbers is 2 x 3 x 19 x 35 = 3990

Least Common Multiple of 6,19,70 with GCF Formula

Least Common Multiple of 6,19,70 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 6,19,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,19,70) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(6,19,70) x common factors =1 x 2 = 2

LCM(6,19,70) = ( 6 × 19 × 70 ) / 2

LCM(6,19,70) = 7980 / 2

LCM(6,19,70) = 3990


Lets's calculate GCF of 180,313,935

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3990/1

Therefore the LCM of Fractions 6/180,19/313,70/935 is 3990

Greatest Common Factor of 180,313,935 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,313,935 By Matching Biggest Common Factor Method

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

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Greatest Common Factor

We found the factors 180,313,935 . The biggest common factor number is the GCF number.
So the greatest common factor 180,313,935 is 1.


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 6/180, 19/313, 70/935

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 6/180, 19/313, 70/935?

Answer: LCM of Numerators as per given numbers 6/180, 19/313, 70/935 is

LCM of Numerators i.e. for 6,19,70 is 3990

GCF of denominators i.e. for 180,313,935 is 1.

Thus, LCM of Fractions is 3990.Finally, LCM of Fractions for 6/180, 19/313, 70/935 is 3990.