Given numbers are 717,459,415,393,924

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

The LCM of 717,459,415,393,924 is 1836879618420.

Find LCM of 717,459,415,393,924 with Prime Factorization

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

3 x 239 x 153 x 415 x 131 x 308 = 1836879618420

Therefore, the lowest common multiple of 717,459,415,393,924 is 1836879618420.

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 459 x 415 x 393 x 924 = 49595749697340

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

459 : 1, 3, 9, 17, 27, 51, 153, 459

415 : 1, 5, 83, 415

393 : 1, 3, 131, 393

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,459,415,393,924, is 1.

Now, the common factors can be found like this.

717:3x 239

459:3x 3x 3x 17

415:5x 83

393:3x 131

924:2x 2x 3x 7x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 49595749697340/(1x27)

LCM = 49595749697340/27

LCM = 1836879618420

Thus, we can understand that the LCM of 717,459,415,393,924 is 1836879618420.

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

• LCM of 567, 973, 881, 218, 837
• LCM of 741, 852, 695, 139, 719
• LCM of 930, 931, 348, 724, 312
• LCM of 974, 253, 215, 277, 921
• LCM of 990, 899, 898, 185, 240

1. What is the LCM of 717, 459, 415, 393, 924?

Answer: LCM of 717, 459, 415, 393, 924 is 1836879618420.

2. How to calculate the LCM of 717, 459, 415, 393, 924?

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, 459, 415, 393, 924.

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}.