Given numbers are 506,618,714,780

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

The LCM of 506,618,714,780 is 2418796380.

Find LCM of 506,618,714,780 with Prime Factorization

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

2 x 3 x 253 x 103 x 119 x 130 = 2418796380

Therefore, the lowest common multiple of 506,618,714,780 is 2418796380.

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.

506 x 618 x 714 x 780 = 174153339360

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

618 : 1, 2, 3, 6, 103, 206, 309, 618

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

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 506,618,714,780, is 2.

Now, the common factors can be found like this.

506:2x 11x 23

618:2x 3x 103

714:2x 3x 7x 17

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 174153339360/(2x36)

LCM = 174153339360/72

LCM = 2418796380

Thus, we can understand that the LCM of 506,618,714,780 is 2418796380.

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

• LCM of 254, 198, 998, 169
• LCM of 604, 386, 325, 834
• LCM of 181, 524, 466, 784
• LCM of 563, 735, 726, 466
• LCM of 267, 624, 779, 795

1. What is the LCM of 506, 618, 714, 780?

Answer: LCM of 506, 618, 714, 780 is 2418796380.

2. How to calculate the LCM of 506, 618, 714, 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 506, 618, 714, 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}.