Least Common Multiple of 96/19, 69/43, 16/70, 76/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/19, 69/43, 16/70, 76/363 quickly i.e. 41952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/19, 69/43, 16/70, 76/363 is 41952.

LCM(96/19, 69/43, 16/70, 76/363) = 41952

LCM of 96/19, 69/43, 16/70, 76/363

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 96/19,69/43,16/70,76/363

Given numbers are 96/19,69/43,16/70,76/363

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 96,69,16,76

Least Common Multiple of Numerators i.e. LCM of 96,69,16,76 is 41952.

GCF of Denominators means GCF of 19,43,70,363 as per the given fractions.

GCF of 19,43,70,363 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,69,16,76

LCM of Fractions 96/19,69/43,16/70,76/363 is 41952

2 96, 69, 16, 76
2 48, 69, 8, 38
2 24, 69, 4, 19
2 12, 69, 2, 19
3 6, 69, 1, 19
2, 23, 1, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 2 x 23 x 1 x 19 = 41952

Least Common Multiple of 96,69,16,76 with GCF Formula

Least Common Multiple of 96,69,16,76 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 96,69,16,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,69,16,76) = 1

common factors(in case of two or more numbers have common factors) = 192

GCF(96,69,16,76) x common factors =1 x 192 = 192

LCM(96,69,16,76) = ( 96 × 69 × 16 × 76 ) / 192

LCM(96,69,16,76) = 8054784 / 192

LCM(96,69,16,76) = 41952


Lets's calculate GCF of 19,43,70,363

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41952/1

Therefore the LCM of Fractions 96/19,69/43,16/70,76/363 is 41952

Greatest Common Factor of 19,43,70,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,43,70,363 By Matching Biggest Common Factor Method

Factors of 19

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

1,19

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

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 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 19,43,70,363 . The biggest common factor number is the GCF number.
So the greatest common factor 19,43,70,363 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 96/19, 69/43, 16/70, 76/363

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 96/19, 69/43, 16/70, 76/363?

Answer: LCM of Numerators as per given numbers 96/19, 69/43, 16/70, 76/363 is

LCM of Numerators i.e. for 96,69,16,76 is 41952

GCF of denominators i.e. for 19,43,70,363 is 1.

Thus, LCM of Fractions is 41952.Finally, LCM of Fractions for 96/19, 69/43, 16/70, 76/363 is 41952.