Given numbers are 724,522,720,690

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

The LCM of 724,522,720,690 is 86923440.

Find LCM of 724,522,720,690 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 181 x 29 x 4 x 23 = 86923440

Therefore, the lowest common multiple of 724,522,720,690 is 86923440.

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.

724 x 522 x 720 x 690 = 187754630400

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.

724 : 1, 2, 4, 181, 362, 724

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

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,522,720,690, is 2.

Now, the common factors can be found like this.

724:2x 2x 181

522:2x 3x 3x 29

720:2x 2x 2x 2x 3x 3x 5

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 2x 3x 3x 3x 5 = 1080

Therefore, the value for common factors is 1080.

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 = 187754630400/(2x1080)

LCM = 187754630400/2160

LCM = 86923440

Thus, we can understand that the LCM of 724,522,720,690 is 86923440.

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

• LCM of 190, 374, 871, 711
• LCM of 100, 724, 272, 589
• LCM of 751, 629, 528, 678
• LCM of 992, 591, 454, 348
• LCM of 116, 459, 984, 101

1. What is the LCM of 724, 522, 720, 690?

Answer: LCM of 724, 522, 720, 690 is 86923440.

2. How to calculate the LCM of 724, 522, 720, 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 724, 522, 720, 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}.