Given numbers are 780,520,524,107

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

The LCM of 780,520,524,107 is 21866520.

Find LCM of 780,520,524,107 with Prime Factorization

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

2 x 2 x 5 x 13 x 3 x 2 x 131 x 107 = 21866520

Therefore, the lowest common multiple of 780,520,524,107 is 21866520.

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 520 x 524 x 107 = 22741180800

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

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

524 : 1, 2, 4, 131, 262, 524

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,520,524,107, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

520:2x 2x 2x 5x 13

524:2x 2x 131

107:107

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 5x 13 = 1040

Therefore, the value for common factors is 1040.

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 = 22741180800/(1x1040)

LCM = 22741180800/1040

LCM = 21866520

Thus, we can understand that the LCM of 780,520,524,107 is 21866520.

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

• LCM of 522, 738, 796, 801
• LCM of 220, 654, 433, 114
• LCM of 901, 315, 295, 162
• LCM of 780, 646, 458, 372
• LCM of 509, 265, 422, 653

1. What is the LCM of 780, 520, 524, 107?

Answer: LCM of 780, 520, 524, 107 is 21866520.

2. How to calculate the LCM of 780, 520, 524, 107?

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, 520, 524, 107.

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}.