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LCM of 936, 519, 990, 594, 803

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


Find the LCM of 936, 519, 990, 594, 803 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 936, 519, 990, 594, 803. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 936,519,990,594,803

Given numbers are 936,519,990,594,803

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

The LCM of 936,519,990,594,803 is 1950422760.

Find LCM of 936,519,990,594,803 with Prime Factorization


2 936, 519, 990, 594, 803
3 468, 519, 495, 297, 803
3 156, 173, 165, 99, 803
11 52, 173, 55, 33, 803
52, 173, 5, 3, 73

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

2 x 3 x 3 x 11 x 52 x 173 x 5 x 3 x 73 = 1950422760

Therefore, the lowest common multiple of 936,519,990,594,803 is 1950422760.

LCM Formula to Find Lowest Common Multiple of 936,519,990,594,803

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.

936 x 519 x 990 x 594 x 803 = 229393121649120

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.

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

519 : 1, 3, 173, 519

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

803 : 1, 11, 73, 803

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,519,990,594,803, is 1.

Now, the common factors can be found like this.

936:2x 2x 2x 3x 3x 13

519:3x 173

990:2x 3x 3x 5x 11

594:2x 3x 3x 3x 11

803:11x 73

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 3x 3x 3x 3x 3x 11x 11 = 117612

Therefore, the value for common factors is 117612.

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 = 229393121649120/(1x117612)

LCM = 229393121649120/117612

LCM = 1950422760

Thus, we can understand that the LCM of 936,519,990,594,803 is 1950422760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 936, 519, 990, 594, 803

1. What is the LCM of 936, 519, 990, 594, 803?

Answer: LCM of 936, 519, 990, 594, 803 is 1950422760.

2. How to calculate the LCM of 936, 519, 990, 594, 803?

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 936, 519, 990, 594, 803.

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}.