Given numbers are 601,214,231,780

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

The LCM of 601,214,231,780 is 3862278420.

Find LCM of 601,214,231,780 with Prime Factorization

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

2 x 3 x 601 x 107 x 77 x 130 = 3862278420

Therefore, the lowest common multiple of 601,214,231,780 is 3862278420.

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.

601 x 214 x 231 x 780 = 23173670520

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.

601 : 1, 601

214 : 1, 2, 107, 214

231 : 1, 3, 7, 11, 21, 33, 77, 231

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 601,214,231,780, is 1.

Now, the common factors can be found like this.

601:601

214:2x 107

231:3x 7x 11

780:2x 2x 3x 5x 13

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 23173670520/(1x6)

LCM = 23173670520/6

LCM = 3862278420

Thus, we can understand that the LCM of 601,214,231,780 is 3862278420.

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

• LCM of 583, 829, 147, 908
• LCM of 417, 371, 262, 895
• LCM of 233, 749, 224, 676
• LCM of 458, 948, 621, 603
• LCM of 640, 391, 728, 701

1. What is the LCM of 601, 214, 231, 780?

Answer: LCM of 601, 214, 231, 780 is 3862278420.

2. How to calculate the LCM of 601, 214, 231, 780?

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 601, 214, 231, 780.

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}.