Given numbers are 368,466,682,170,759

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

The LCM of 368,466,682,170,759 is 7455869520.

Find LCM of 368,466,682,170,759 with Prime Factorization

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

2 x 11 x 23 x 8 x 233 x 31 x 85 x 3 = 7455869520

Therefore, the lowest common multiple of 368,466,682,170,759 is 7455869520.

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.

368 x 466 x 682 x 170 x 759 = 15090679908480

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.

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

466 : 1, 2, 233, 466

682 : 1, 2, 11, 22, 31, 62, 341, 682

170 : 1, 2, 5, 10, 17, 34, 85, 170

759 : 1, 3, 11, 23, 33, 69, 253, 759

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,466,682,170,759, is 1.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

466:2x 233

682:2x 11x 31

170:2x 5x 17

759:3x 11x 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 11x 23 = 2024

Therefore, the value for common factors is 2024.

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 = 15090679908480/(1x2024)

LCM = 15090679908480/2024

LCM = 7455869520

Thus, we can understand that the LCM of 368,466,682,170,759 is 7455869520.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 154, 397, 150, 565, 142
• LCM of 925, 974, 532, 586, 503
• LCM of 800, 926, 686, 977, 541
• LCM of 512, 689, 346, 996, 664
• LCM of 909, 971, 422, 264, 936

1. What is the LCM of 368, 466, 682, 170, 759?

Answer: LCM of 368, 466, 682, 170, 759 is 7455869520.

2. How to calculate the LCM of 368, 466, 682, 170, 759?

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 368, 466, 682, 170, 759.

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}.