Given numbers are 780,588,968,828,125

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

The LCM of 780,588,968,828,125 is 15954939000.

Find LCM of 780,588,968,828,125 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 49 x 242 x 69 x 25 = 15954939000

Therefore, the lowest common multiple of 780,588,968,828,125 is 15954939000.

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 588 x 968 x 828 x 125 = 45950224320000

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

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

125 : 1, 5, 25, 125

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,588,968,828,125, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

588:2x 2x 3x 7x 7

968:2x 2x 2x 11x 11

828:2x 2x 3x 3x 23

125:5x 5x 5

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 2x 3x 3x 5 = 2880

Therefore, the value for common factors is 2880.

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 = 45950224320000/(1x2880)

LCM = 45950224320000/2880

LCM = 15954939000

Thus, we can understand that the LCM of 780,588,968,828,125 is 15954939000.

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

• LCM of 103, 672, 260, 812, 212
• LCM of 350, 296, 870, 765, 571
• LCM of 502, 263, 191, 793, 497
• LCM of 841, 696, 238, 598, 790
• LCM of 216, 166, 754, 893, 690

1. What is the LCM of 780, 588, 968, 828, 125?

Answer: LCM of 780, 588, 968, 828, 125 is 15954939000.

2. How to calculate the LCM of 780, 588, 968, 828, 125?

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, 588, 968, 828, 125.

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}.