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LCM of 190, 793, 984, 428, 494

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


Find the LCM of 190, 793, 984, 428, 494 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 190, 793, 984, 428, 494. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 190,793,984,428,494

Given numbers are 190,793,984,428,494

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

The LCM of 190,793,984,428,494 is 7931871480.

Find LCM of 190,793,984,428,494 with Prime Factorization


2 190, 793, 984, 428, 494
2 95, 793, 492, 214, 247
13 95, 793, 246, 107, 247
19 95, 61, 246, 107, 19
5, 61, 246, 107, 1

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

2 x 2 x 13 x 19 x 5 x 61 x 246 x 107 x 1 = 7931871480

Therefore, the lowest common multiple of 190,793,984,428,494 is 7931871480.

LCM Formula to Find Lowest Common Multiple of 190,793,984,428,494

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.

190 x 793 x 984 x 428 x 494 = 31346756088960

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.

190 : 1, 2, 5, 10, 19, 38, 95, 190

793 : 1, 13, 61, 793

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

428 : 1, 2, 4, 107, 214, 428

494 : 1, 2, 13, 19, 26, 38, 247, 494

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 190,793,984,428,494, is 1.

Now, the common factors can be found like this.

190:2x 5x 19

793:13x 61

984:2x 2x 2x 3x 41

428:2x 2x 107

494:2x 13x 19

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

2x 2x 2x 2x 13x 19 = 3952

Therefore, the value for common factors is 3952.

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 = 31346756088960/(1x3952)

LCM = 31346756088960/3952

LCM = 7931871480

Thus, we can understand that the LCM of 190,793,984,428,494 is 7931871480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 190, 793, 984, 428, 494

1. What is the LCM of 190, 793, 984, 428, 494?

Answer: LCM of 190, 793, 984, 428, 494 is 7931871480.

2. How to calculate the LCM of 190, 793, 984, 428, 494?

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 190, 793, 984, 428, 494.

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}.