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LCM of 717, 686, 795, 392

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


Find the LCM of 717, 686, 795, 392 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, 686, 795, 392. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 717,686,795,392

Given numbers are 717,686,795,392

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

The LCM of 717,686,795,392 is 521373720.

Find LCM of 717,686,795,392 with Prime Factorization


2 717, 686, 795, 392
3 717, 343, 795, 196
7 239, 343, 265, 196
7 239, 49, 265, 28
239, 7, 265, 4

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

2 x 3 x 7 x 7 x 239 x 7 x 265 x 4 = 521373720

Therefore, the lowest common multiple of 717,686,795,392 is 521373720.

LCM Formula to Find Lowest Common Multiple of 717,686,795,392

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 686 x 795 x 392 = 153283873680

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

686 : 1, 2, 7, 14, 49, 98, 343, 686

795 : 1, 3, 5, 15, 53, 159, 265, 795

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,686,795,392, is 1.

Now, the common factors can be found like this.

717:3x 239

686:2x 7x 7x 7

795:3x 5x 53

392:2x 2x 2x 7x 7

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 7x 7 = 294

Therefore, the value for common factors is 294.

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 = 153283873680/(1x294)

LCM = 153283873680/294

LCM = 521373720

Thus, we can understand that the LCM of 717,686,795,392 is 521373720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 717, 686, 795, 392

1. What is the LCM of 717, 686, 795, 392?

Answer: LCM of 717, 686, 795, 392 is 521373720.

2. How to calculate the LCM of 717, 686, 795, 392?

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, 686, 795, 392.

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}.