Given numbers are 565,726,364,412

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

The LCM of 565,726,364,412 is 7689421740.

Find LCM of 565,726,364,412 with Prime Factorization

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

2 x 2 x 565 x 363 x 91 x 103 = 7689421740

Therefore, the lowest common multiple of 565,726,364,412 is 7689421740.

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.

565 x 726 x 364 x 412 = 61515373920

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.

565 : 1, 5, 113, 565

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,726,364,412, is 1.

Now, the common factors can be found like this.

565:5x 113

726:2x 3x 11x 11

364:2x 2x 7x 13

412:2x 2x 103

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 2 = 8

Therefore, the value for common factors is 8.

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 = 61515373920/(1x8)

LCM = 61515373920/8

LCM = 7689421740

Thus, we can understand that the LCM of 565,726,364,412 is 7689421740.

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

• LCM of 395, 967, 998, 187
• LCM of 981, 242, 399, 362
• LCM of 497, 654, 200, 960
• LCM of 455, 975, 959, 458
• LCM of 600, 527, 449, 218

1. What is the LCM of 565, 726, 364, 412?

Answer: LCM of 565, 726, 364, 412 is 7689421740.

2. How to calculate the LCM of 565, 726, 364, 412?

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 565, 726, 364, 412.

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}.