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LCM of 717, 992, 115, 936, 368

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


Find the LCM of 717, 992, 115, 936, 368 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 717, 992, 115, 936, 368. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 717,992,115,936,368

Given numbers are 717,992,115,936,368

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

The LCM of 717,992,115,936,368 is 3190019040.

Find LCM of 717,992,115,936,368 with Prime Factorization


2 717, 992, 115, 936, 368
2 717, 496, 115, 468, 184
2 717, 248, 115, 234, 92
2 717, 124, 115, 117, 46
3 717, 62, 115, 117, 23
23 239, 62, 115, 39, 23
239, 62, 5, 39, 1

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

2 x 2 x 2 x 2 x 3 x 23 x 239 x 62 x 5 x 39 x 1 = 3190019040

Therefore, the lowest common multiple of 717,992,115,936,368 is 3190019040.

LCM Formula to Find Lowest Common Multiple of 717,992,115,936,368

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.

717 x 992 x 115 x 936 x 368 = 28174248161280

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.

717 : 1, 3, 239, 717

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

115 : 1, 5, 23, 115

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

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,992,115,936,368, is 1.

Now, the common factors can be found like this.

717:3x 239

992:2x 2x 2x 2x 2x 31

115:5x 23

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

368:2x 2x 2x 2x 23

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 2x 2x 2x 3x 23 = 8832

Therefore, the value for common factors is 8832.

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 = 28174248161280/(1x8832)

LCM = 28174248161280/8832

LCM = 3190019040

Thus, we can understand that the LCM of 717,992,115,936,368 is 3190019040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 717, 992, 115, 936, 368

1. What is the LCM of 717, 992, 115, 936, 368?

Answer: LCM of 717, 992, 115, 936, 368 is 3190019040.

2. How to calculate the LCM of 717, 992, 115, 936, 368?

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 717, 992, 115, 936, 368.

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}.