Given numbers are 365,508,706,872

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

The LCM of 365,508,706,872 is 14268810680.

Find LCM of 365,508,706,872 with Prime Factorization

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

2 x 2 x 365 x 127 x 353 x 218 = 14268810680

Therefore, the lowest common multiple of 365,508,706,872 is 14268810680.

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.

365 x 508 x 706 x 872 = 114150485440

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.

365 : 1, 5, 73, 365

508 : 1, 2, 4, 127, 254, 508

706 : 1, 2, 353, 706

872 : 1, 2, 4, 8, 109, 218, 436, 872

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,508,706,872, is 1.

Now, the common factors can be found like this.

365:5x 73

508:2x 2x 127

706:2x 353

872:2x 2x 2x 109

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 = 114150485440/(1x8)

LCM = 114150485440/8

LCM = 14268810680

Thus, we can understand that the LCM of 365,508,706,872 is 14268810680.

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

• LCM of 552, 825, 556, 698
• LCM of 974, 519, 369, 166
• LCM of 110, 196, 784, 860
• LCM of 889, 958, 205, 276
• LCM of 422, 237, 435, 642

1. What is the LCM of 365, 508, 706, 872?

Answer: LCM of 365, 508, 706, 872 is 14268810680.

2. How to calculate the LCM of 365, 508, 706, 872?

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 365, 508, 706, 872.

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}.