Given numbers are 771,374,783,312,642

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

The LCM of 771,374,783,312,642 is 418748832216.

Find LCM of 771,374,783,312,642 with Prime Factorization

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

2 x 3 x 257 x 187 x 261 x 52 x 107 = 418748832216

Therefore, the lowest common multiple of 771,374,783,312,642 is 418748832216.

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.

771 x 374 x 783 x 312 x 642 = 45224873879328

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.

771 : 1, 3, 257, 771

374 : 1, 2, 11, 17, 22, 34, 187, 374

783 : 1, 3, 9, 27, 29, 87, 261, 783

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,374,783,312,642, is 1.

Now, the common factors can be found like this.

771:3x 257

374:2x 11x 17

783:3x 3x 3x 29

312:2x 2x 2x 3x 13

642:2x 3x 107

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 45224873879328/(1x108)

LCM = 45224873879328/108

LCM = 418748832216

Thus, we can understand that the LCM of 771,374,783,312,642 is 418748832216.

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

• LCM of 279, 483, 171, 988, 350
• LCM of 162, 835, 443, 873, 162
• LCM of 879, 911, 188, 440, 161
• LCM of 214, 638, 378, 491, 297
• LCM of 993, 683, 379, 834, 515

1. What is the LCM of 771, 374, 783, 312, 642?

Answer: LCM of 771, 374, 783, 312, 642 is 418748832216.

2. How to calculate the LCM of 771, 374, 783, 312, 642?

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 771, 374, 783, 312, 642.

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}.