Least Common Multiple of 9/66, 3/12, 70/56, 11/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/66, 3/12, 70/56, 11/686 quickly i.e. 3465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/66, 3/12, 70/56, 11/686 is 3465.

LCM(9/66, 3/12, 70/56, 11/686) = 3465

LCM of 9/66, 3/12, 70/56, 11/686

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 9/66,3/12,70/56,11/686

Given numbers are 9/66,3/12,70/56,11/686

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 9,3,70,11

Least Common Multiple of Numerators i.e. LCM of 9,3,70,11 is 6930.

GCF of Denominators means GCF of 66,12,56,686 as per the given fractions.

GCF of 66,12,56,686 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,3,70,11

LCM of Fractions 9/66,3/12,70/56,11/686 is 3465

3 9, 3, 70, 11
3, 1, 70, 11

∴ So the LCM of the given numbers is 3 x 3 x 1 x 70 x 11 = 6930

Least Common Multiple of 9,3,70,11 with GCF Formula

Least Common Multiple of 9,3,70,11 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 9,3,70,11 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,3,70,11) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(9,3,70,11) x common factors =1 x 3 = 3

LCM(9,3,70,11) = ( 9 × 3 × 70 × 11 ) / 3

LCM(9,3,70,11) = 20790 / 3

LCM(9,3,70,11) = 6930


Lets's calculate GCF of 66,12,56,686

2 66, 12, 56, 686
33, 6, 28, 343

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6930/2

Therefore the LCM of Fractions 9/66,3/12,70/56,11/686 is 3465

Greatest Common Factor of 66,12,56,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,12,56,686 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 66,12,56,686 . The biggest common factor number is the GCF number.
So the greatest common factor 66,12,56,686 is 2.


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 9/66, 3/12, 70/56, 11/686

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 9/66, 3/12, 70/56, 11/686?

Answer: LCM of Numerators as per given numbers 9/66, 3/12, 70/56, 11/686 is

LCM of Numerators i.e. for 9,3,70,11 is 6930

GCF of denominators i.e. for 66,12,56,686 is 2.

Thus, LCM of Fractions is 3465.Finally, LCM of Fractions for 9/66, 3/12, 70/56, 11/686 is 3465.