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LCM of 192, 978, 419, 981, 917

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 192, 978, 419, 981, 917 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 192, 978, 419, 981, 917. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 192,978,419,981,917

Given numbers are 192,978,419,981,917

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 192,978,419,981,917 is 3932058263616.

Find LCM of 192,978,419,981,917 with Prime Factorization


2 192, 978, 419, 981, 917
3 96, 489, 419, 981, 917
32, 163, 419, 327, 917

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 32 x 163 x 419 x 327 x 917 = 3932058263616

Therefore, the lowest common multiple of 192,978,419,981,917 is 3932058263616.

LCM Formula to Find Lowest Common Multiple of 192,978,419,981,917

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

192 x 978 x 419 x 981 x 917 = 70777048745088

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

978 : 1, 2, 3, 6, 163, 326, 489, 978

419 : 1, 419

981 : 1, 3, 9, 109, 327, 981

917 : 1, 7, 131, 917

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,978,419,981,917, is 1.

Now, the common factors can be found like this.

192:2x 2x 2x 2x 2x 2x 3

978:2x 3x 163

419:419

981:3x 3x 109

917:7x 131

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 70777048745088/(1x18)

LCM = 70777048745088/18

LCM = 3932058263616

Thus, we can understand that the LCM of 192,978,419,981,917 is 3932058263616.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 192, 978, 419, 981, 917

1. What is the LCM of 192, 978, 419, 981, 917?

Answer: LCM of 192, 978, 419, 981, 917 is 3932058263616.

2. How to calculate the LCM of 192, 978, 419, 981, 917?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 192, 978, 419, 981, 917.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.