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LCM of 717, 478, 380, 562

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


Find the LCM of 717, 478, 380, 562 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, 478, 380, 562. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 717,478,380,562

Given numbers are 717,478,380,562

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

The LCM of 717,478,380,562 is 76561260.

Find LCM of 717,478,380,562 with Prime Factorization


2 717, 478, 380, 562
239 717, 239, 190, 281
3, 1, 190, 281

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

2 x 239 x 3 x 1 x 190 x 281 = 76561260

Therefore, the lowest common multiple of 717,478,380,562 is 76561260.

LCM Formula to Find Lowest Common Multiple of 717,478,380,562

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 478 x 380 x 562 = 73192564560

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

478 : 1, 2, 239, 478

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

562 : 1, 2, 281, 562

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,478,380,562, is 1.

Now, the common factors can be found like this.

717:3x 239

478:2x 239

380:2x 2x 5x 19

562:2x 281

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 239 = 956

Therefore, the value for common factors is 956.

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 = 73192564560/(1x956)

LCM = 73192564560/956

LCM = 76561260

Thus, we can understand that the LCM of 717,478,380,562 is 76561260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 717, 478, 380, 562

1. What is the LCM of 717, 478, 380, 562?

Answer: LCM of 717, 478, 380, 562 is 76561260.

2. How to calculate the LCM of 717, 478, 380, 562?

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, 478, 380, 562.

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}.