Given numbers are 821,267,414,376

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

The LCM of 821,267,414,376 is 5687106408.

Find LCM of 821,267,414,376 with Prime Factorization

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

2 x 3 x 821 x 89 x 69 x 188 = 5687106408

Therefore, the lowest common multiple of 821,267,414,376 is 5687106408.

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.

821 x 267 x 414 x 376 = 34122638448

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.

821 : 1, 821

267 : 1, 3, 89, 267

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

376 : 1, 2, 4, 8, 47, 94, 188, 376

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,267,414,376, is 1.

Now, the common factors can be found like this.

821:821

267:3x 89

414:2x 3x 3x 23

376:2x 2x 2x 47

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 34122638448/(1x6)

LCM = 34122638448/6

LCM = 5687106408

Thus, we can understand that the LCM of 821,267,414,376 is 5687106408.

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

• LCM of 467, 973, 916, 209
• LCM of 659, 952, 420, 985
• LCM of 252, 204, 415, 124
• LCM of 412, 221, 402, 449
• LCM of 828, 450, 880, 363

1. What is the LCM of 821, 267, 414, 376?

Answer: LCM of 821, 267, 414, 376 is 5687106408.

2. How to calculate the LCM of 821, 267, 414, 376?

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 821, 267, 414, 376.

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}.