Least Common Multiple of 11/70, 96/10, 47/18, 34/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/70, 96/10, 47/18, 34/660 quickly i.e. 421872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/70, 96/10, 47/18, 34/660 is 421872.

LCM(11/70, 96/10, 47/18, 34/660) = 421872

LCM of 11/70, 96/10, 47/18, 34/660

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 11/70,96/10,47/18,34/660

Given numbers are 11/70,96/10,47/18,34/660

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 11,96,47,34

Least Common Multiple of Numerators i.e. LCM of 11,96,47,34 is 843744.

GCF of Denominators means GCF of 70,10,18,660 as per the given fractions.

GCF of 70,10,18,660 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,96,47,34

LCM of Fractions 11/70,96/10,47/18,34/660 is 421872

2 11, 96, 47, 34
11, 48, 47, 17

∴ So the LCM of the given numbers is 2 x 11 x 48 x 47 x 17 = 843744

Least Common Multiple of 11,96,47,34 with GCF Formula

Least Common Multiple of 11,96,47,34 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 11,96,47,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,96,47,34) = 1

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

GCF(11,96,47,34) x common factors =1 x 2 = 2

LCM(11,96,47,34) = ( 11 × 96 × 47 × 34 ) / 2

LCM(11,96,47,34) = 1687488 / 2

LCM(11,96,47,34) = 843744


Lets's calculate GCF of 70,10,18,660

2 70, 10, 18, 660
35, 5, 9, 330

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 843744/2

Therefore the LCM of Fractions 11/70,96/10,47/18,34/660 is 421872

Greatest Common Factor of 70,10,18,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,10,18,660 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 70,10,18,660 . The biggest common factor number is the GCF number.
So the greatest common factor 70,10,18,660 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 11/70, 96/10, 47/18, 34/660

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 11/70, 96/10, 47/18, 34/660?

Answer: LCM of Numerators as per given numbers 11/70, 96/10, 47/18, 34/660 is

LCM of Numerators i.e. for 11,96,47,34 is 843744

GCF of denominators i.e. for 70,10,18,660 is 2.

Thus, LCM of Fractions is 421872.Finally, LCM of Fractions for 11/70, 96/10, 47/18, 34/660 is 421872.