Least Common Multiple of 11/38, 33/19, 96/10, 924/70

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/38, 33/19, 96/10, 924/70 quickly i.e. 7392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/38, 33/19, 96/10, 924/70 is 7392.

LCM(11/38, 33/19, 96/10, 924/70) = 7392

LCM of 11/38, 33/19, 96/10, 924/70

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 11/38,33/19,96/10,924/70

Given numbers are 11/38,33/19,96/10,924/70

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 11,33,96,924

Least Common Multiple of Numerators i.e. LCM of 11,33,96,924 is 7392.

GCF of Denominators means GCF of 38,19,10,70 as per the given fractions.

GCF of 38,19,10,70 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,33,96,924

LCM of Fractions 11/38,33/19,96/10,924/70 is 7392

2 11, 33, 96, 924
2 11, 33, 48, 462
3 11, 33, 24, 231
11 11, 11, 8, 77
1, 1, 8, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 1 x 1 x 8 x 7 = 7392

Least Common Multiple of 11,33,96,924 with GCF Formula

Least Common Multiple of 11,33,96,924 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 11,33,96,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,33,96,924) = 1

common factors(in case of two or more numbers have common factors) = 4356

GCF(11,33,96,924) x common factors =1 x 4356 = 4356

LCM(11,33,96,924) = ( 11 × 33 × 96 × 924 ) / 4356

LCM(11,33,96,924) = 32199552 / 4356

LCM(11,33,96,924) = 7392


Lets's calculate GCF of 38,19,10,70

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7392/1

Therefore the LCM of Fractions 11/38,33/19,96/10,924/70 is 7392

Greatest Common Factor of 38,19,10,70 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,19,10,70 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 10

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

1,2,5,10

Factors of 70

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

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

Greatest Common Factor

We found the factors 38,19,10,70 . The biggest common factor number is the GCF number.
So the greatest common factor 38,19,10,70 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 11/38, 33/19, 96/10, 924/70

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 11/38, 33/19, 96/10, 924/70?

Answer: LCM of Numerators as per given numbers 11/38, 33/19, 96/10, 924/70 is

LCM of Numerators i.e. for 11,33,96,924 is 7392

GCF of denominators i.e. for 38,19,10,70 is 1.

Thus, LCM of Fractions is 7392.Finally, LCM of Fractions for 11/38, 33/19, 96/10, 924/70 is 7392.