Given numbers are 187,604,900,706,780

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

The LCM of 187,604,900,706,780 is 116621633700.

Find LCM of 187,604,900,706,780 with Prime Factorization

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

2 x 2 x 3 x 5 x 187 x 151 x 15 x 353 x 13 = 116621633700

Therefore, the lowest common multiple of 187,604,900,706,780 is 116621633700.

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.

187 x 604 x 900 x 706 x 780 = 55978384176000

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.

187 : 1, 11, 17, 187

604 : 1, 2, 4, 151, 302, 604

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

706 : 1, 2, 353, 706

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 187,604,900,706,780, is 1.

Now, the common factors can be found like this.

187:11x 17

604:2x 2x 151

900:2x 2x 3x 3x 5x 5

706:2x 353

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 2x 2x 2x 2x 3x 5 = 480

Therefore, the value for common factors is 480.

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 = 55978384176000/(1x480)

LCM = 55978384176000/480

LCM = 116621633700

Thus, we can understand that the LCM of 187,604,900,706,780 is 116621633700.

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

• LCM of 356, 363, 886, 657, 276
• LCM of 683, 476, 977, 508, 894
• LCM of 535, 940, 577, 785, 245
• LCM of 776, 247, 554, 684, 370
• LCM of 475, 516, 832, 530, 428

1. What is the LCM of 187, 604, 900, 706, 780?

Answer: LCM of 187, 604, 900, 706, 780 is 116621633700.

2. How to calculate the LCM of 187, 604, 900, 706, 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 187, 604, 900, 706, 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}.