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LCM of 793, 468, 793, 638, 850

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


Find the LCM of 793, 468, 793, 638, 850 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 793, 468, 793, 638, 850. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 793,468,793,638,850

Given numbers are 793,468,793,638,850

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

The LCM of 793,468,793,638,850 is 3870395100.

Find LCM of 793,468,793,638,850 with Prime Factorization


2 793, 468, 793, 638, 850
13 793, 234, 793, 319, 425
61 61, 18, 61, 319, 425
1, 18, 1, 319, 425

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

2 x 13 x 61 x 1 x 18 x 1 x 319 x 425 = 3870395100

Therefore, the lowest common multiple of 793,468,793,638,850 is 3870395100.

LCM Formula to Find Lowest Common Multiple of 793,468,793,638,850

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.

793 x 468 x 793 x 638 x 850 = 159599612343600

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.

793 : 1, 13, 61, 793

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

793 : 1, 13, 61, 793

638 : 1, 2, 11, 22, 29, 58, 319, 638

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,468,793,638,850, is 1.

Now, the common factors can be found like this.

793:13x 61

468:2x 2x 3x 3x 13

793:13x 61

638:2x 11x 29

850:2x 5x 5x 17

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 13x 13x 61 = 41236

Therefore, the value for common factors is 41236.

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 = 159599612343600/(1x41236)

LCM = 159599612343600/41236

LCM = 3870395100

Thus, we can understand that the LCM of 793,468,793,638,850 is 3870395100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 793, 468, 793, 638, 850

1. What is the LCM of 793, 468, 793, 638, 850?

Answer: LCM of 793, 468, 793, 638, 850 is 3870395100.

2. How to calculate the LCM of 793, 468, 793, 638, 850?

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 793, 468, 793, 638, 850.

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}.