Given numbers are 690,213,720,375

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

The LCM of 690,213,720,375 is 29394000.

Find LCM of 690,213,720,375 with Prime Factorization

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

2 x 3 x 5 x 23 x 71 x 24 x 25 = 29394000

Therefore, the lowest common multiple of 690,213,720,375 is 29394000.

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.

690 x 213 x 720 x 375 = 39681900000

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.

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

213 : 1, 3, 71, 213

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

375 : 1, 3, 5, 15, 25, 75, 125, 375

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,213,720,375, is 3.

Now, the common factors can be found like this.

690:2x 3x 5x 23

213:3x 71

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

375:3x 5x 5x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 5x 5 = 450

Therefore, the value for common factors is 450.

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 = 39681900000/(3x450)

LCM = 39681900000/1350

LCM = 29394000

Thus, we can understand that the LCM of 690,213,720,375 is 29394000.

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

• LCM of 137, 702, 884, 796
• LCM of 384, 851, 297, 315
• LCM of 774, 263, 476, 765
• LCM of 346, 401, 553, 957
• LCM of 908, 485, 433, 692

1. What is the LCM of 690, 213, 720, 375?

Answer: LCM of 690, 213, 720, 375 is 29394000.

2. How to calculate the LCM of 690, 213, 720, 375?

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 690, 213, 720, 375.

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}.