Given numbers are 757,684,171,580,812

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

The LCM of 757,684,171,580,812 is 525554820.

Find LCM of 757,684,171,580,812 with Prime Factorization

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

2 x 2 x 3 x 3 x 19 x 29 x 757 x 1 x 1 x 5 x 7 = 525554820

Therefore, the lowest common multiple of 757,684,171,580,812 is 525554820.

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.

757 x 684 x 171 x 580 x 812 = 41699621638080

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.

757 : 1, 757

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

171 : 1, 3, 9, 19, 57, 171

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,684,171,580,812, is 1.

Now, the common factors can be found like this.

757:757

684:2x 2x 3x 3x 19

171:3x 3x 19

580:2x 2x 5x 29

812:2x 2x 7x 29

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 3x 3x 19x 29 = 79344

Therefore, the value for common factors is 79344.

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 = 41699621638080/(1x79344)

LCM = 41699621638080/79344

LCM = 525554820

Thus, we can understand that the LCM of 757,684,171,580,812 is 525554820.

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

• LCM of 253, 397, 110, 949, 256
• LCM of 968, 166, 961, 200, 766
• LCM of 373, 530, 191, 400, 521
• LCM of 482, 584, 646, 505, 361
• LCM of 268, 339, 476, 945, 403

1. What is the LCM of 757, 684, 171, 580, 812?

Answer: LCM of 757, 684, 171, 580, 812 is 525554820.

2. How to calculate the LCM of 757, 684, 171, 580, 812?

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 757, 684, 171, 580, 812.

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}.