Given numbers are 780,314,738,686

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

The LCM of 780,314,738,686 is 5166464940.

Find LCM of 780,314,738,686 with Prime Factorization

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

2 x 3 x 130 x 157 x 123 x 343 = 5166464940

Therefore, the lowest common multiple of 780,314,738,686 is 5166464940.

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 314 x 738 x 686 = 123995158560

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

314 : 1, 2, 157, 314

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

686 : 1, 2, 7, 14, 49, 98, 343, 686

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,314,738,686, is 2.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

314:2x 157

738:2x 3x 3x 41

686:2x 7x 7x 7

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 3 = 12

Therefore, the value for common factors is 12.

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 = 123995158560/(2x12)

LCM = 123995158560/24

LCM = 5166464940

Thus, we can understand that the LCM of 780,314,738,686 is 5166464940.

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

• LCM of 404, 570, 244, 297
• LCM of 643, 755, 860, 678
• LCM of 364, 539, 586, 993
• LCM of 352, 309, 528, 255
• LCM of 496, 814, 335, 267

1. What is the LCM of 780, 314, 738, 686?

Answer: LCM of 780, 314, 738, 686 is 5166464940.

2. How to calculate the LCM of 780, 314, 738, 686?

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, 314, 738, 686.

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}.