Given numbers are 869,284,249,380

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

The LCM of 869,284,249,380 is 5837959380.

Find LCM of 869,284,249,380 with Prime Factorization

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

2 x 2 x 869 x 71 x 249 x 95 = 5837959380

Therefore, the lowest common multiple of 869,284,249,380 is 5837959380.

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.

869 x 284 x 249 x 380 = 23351837520

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.

869 : 1, 11, 79, 869

284 : 1, 2, 4, 71, 142, 284

249 : 1, 3, 83, 249

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,284,249,380, is 1.

Now, the common factors can be found like this.

869:11x 79

284:2x 2x 71

249:3x 83

380:2x 2x 5x 19

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 23351837520/(1x4)

LCM = 23351837520/4

LCM = 5837959380

Thus, we can understand that the LCM of 869,284,249,380 is 5837959380.

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

• LCM of 362, 286, 632, 697
• LCM of 257, 783, 314, 744
• LCM of 697, 540, 176, 649
• LCM of 112, 244, 339, 956
• LCM of 899, 603, 410, 963

1. What is the LCM of 869, 284, 249, 380?

Answer: LCM of 869, 284, 249, 380 is 5837959380.

2. How to calculate the LCM of 869, 284, 249, 380?

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 869, 284, 249, 380.

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}.