Given numbers are 780,342,451,198

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

The LCM of 780,342,451,198 is 20051460.

Find LCM of 780,342,451,198 with Prime Factorization

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

2 x 3 x 3 x 11 x 130 x 19 x 41 x 1 = 20051460

Therefore, the lowest common multiple of 780,342,451,198 is 20051460.

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 342 x 451 x 198 = 23821134480

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

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

451 : 1, 11, 41, 451

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,342,451,198, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

342:2x 3x 3x 19

451:11x 41

198:2x 3x 3x 11

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 3x 11 = 1188

Therefore, the value for common factors is 1188.

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 = 23821134480/(1x1188)

LCM = 23821134480/1188

LCM = 20051460

Thus, we can understand that the LCM of 780,342,451,198 is 20051460.

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

• LCM of 247, 969, 281, 595
• LCM of 109, 717, 360, 583
• LCM of 183, 901, 336, 356
• LCM of 694, 691, 318, 157
• LCM of 824, 371, 952, 508

1. What is the LCM of 780, 342, 451, 198?

Answer: LCM of 780, 342, 451, 198 is 20051460.

2. How to calculate the LCM of 780, 342, 451, 198?

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, 342, 451, 198.

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}.