Given numbers are 787,414,830

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

The LCM of 787,414,830 is 135214470.

Find LCM of 787,414,830 with Prime Factorization

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

2 x 787 x 207 x 415 = 135214470

Therefore, the lowest common multiple of 787,414,830 is 135214470.

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.

787 x 414 x 830 = 270428940

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.

787 : 1, 787

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

830 : 1, 2, 5, 10, 83, 166, 415, 830

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,414,830, is 1.

Now, the common factors can be found like this.

787:787

414:2x 3x 3x 23

830:2x 5x 83

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

2 = 2

Therefore, the value for common factors is 2.

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 = 270428940/(1x2)

LCM = 270428940/2

LCM = 135214470

Thus, we can understand that the LCM of 787,414,830 is 135214470.

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

• LCM of 717, 114, 393
• LCM of 120, 803, 514
• LCM of 693, 665, 403
• LCM of 599, 129, 699
• LCM of 659, 230, 758

1. What is the LCM of 787, 414, 830?

Answer: LCM of 787, 414, 830 is 135214470.

2. How to calculate the LCM of 787, 414, 830?

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 787, 414, 830.

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}.