Given numbers are 514,520,104,780

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

The LCM of 514,520,104,780 is 400920.

Find LCM of 514,520,104,780 with Prime Factorization

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

2 x 2 x 2 x 5 x 13 x 257 x 1 x 1 x 3 = 400920

Therefore, the lowest common multiple of 514,520,104,780 is 400920.

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.

514 x 520 x 104 x 780 = 21681753600

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.

514 : 1, 2, 257, 514

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,520,104,780, is 2.

Now, the common factors can be found like this.

514:2x 257

520:2x 2x 2x 5x 13

104:2x 2x 2x 13

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 5x 13x 13 = 27040

Therefore, the value for common factors is 27040.

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 = 21681753600/(2x27040)

LCM = 21681753600/54080

LCM = 400920

Thus, we can understand that the LCM of 514,520,104,780 is 400920.

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

• LCM of 246, 396, 924, 240
• LCM of 522, 652, 839, 378
• LCM of 211, 601, 573, 149
• LCM of 846, 972, 993, 223
• LCM of 599, 540, 347, 124

1. What is the LCM of 514, 520, 104, 780?

Answer: LCM of 514, 520, 104, 780 is 400920.

2. How to calculate the LCM of 514, 520, 104, 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 514, 520, 104, 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}.