Given numbers are 522,714,780,690

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

The LCM of 522,714,780,690 is 185732820.

Find LCM of 522,714,780,690 with Prime Factorization

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

2 x 3 x 5 x 87 x 119 x 26 x 23 = 185732820

Therefore, the lowest common multiple of 522,714,780,690 is 185732820.

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.

522 x 714 x 780 x 690 = 200591445600

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.

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

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

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 522,714,780,690, is 6.

Now, the common factors can be found like this.

522:2x 3x 3x 29

714:2x 3x 7x 17

780:2x 2x 3x 5x 13

690:2x 3x 5x 23

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 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 200591445600/(6x180)

LCM = 200591445600/1080

LCM = 185732820

Thus, we can understand that the LCM of 522,714,780,690 is 185732820.

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

• LCM of 303, 100, 509, 871
• LCM of 563, 867, 174, 171
• LCM of 209, 691, 907, 659
• LCM of 812, 762, 448, 468
• LCM of 582, 703, 516, 834

1. What is the LCM of 522, 714, 780, 690?

Answer: LCM of 522, 714, 780, 690 is 185732820.

2. How to calculate the LCM of 522, 714, 780, 690?

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 522, 714, 780, 690.

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}.