Given numbers are 780,856,214,938

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

The LCM of 780,856,214,938 is 78285480.

Find LCM of 780,856,214,938 with Prime Factorization

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

2 x 2 x 107 x 195 x 2 x 1 x 469 = 78285480

Therefore, the lowest common multiple of 780,856,214,938 is 78285480.

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.

780 x 856 x 214 x 938 = 134024741760

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.

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

856 : 1, 2, 4, 8, 107, 214, 428, 856

214 : 1, 2, 107, 214

938 : 1, 2, 7, 14, 67, 134, 469, 938

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,856,214,938, is 2.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

856:2x 2x 2x 107

214:2x 107

938:2x 7x 67

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 107 = 856

Therefore, the value for common factors is 856.

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 = 134024741760/(2x856)

LCM = 134024741760/1712

LCM = 78285480

Thus, we can understand that the LCM of 780,856,214,938 is 78285480.

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

• LCM of 329, 345, 886, 963
• LCM of 702, 981, 636, 401
• LCM of 153, 586, 298, 511
• LCM of 585, 129, 246, 446
• LCM of 832, 810, 882, 323

1. What is the LCM of 780, 856, 214, 938?

Answer: LCM of 780, 856, 214, 938 is 78285480.

2. How to calculate the LCM of 780, 856, 214, 938?

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 780, 856, 214, 938.

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}.