Given numbers are 289,771,536,214

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

The LCM of 289,771,536,214 is 12779115288.

Find LCM of 289,771,536,214 with Prime Factorization

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

2 x 289 x 771 x 268 x 107 = 12779115288

Therefore, the lowest common multiple of 289,771,536,214 is 12779115288.

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.

289 x 771 x 536 x 214 = 25558230576

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.

289 : 1, 17, 289

771 : 1, 3, 257, 771

536 : 1, 2, 4, 8, 67, 134, 268, 536

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,771,536,214, is 1.

Now, the common factors can be found like this.

289:17x 17

771:3x 257

536:2x 2x 2x 67

214:2x 107

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

2 = 2

Therefore, the value for common factors is 2.

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 = 25558230576/(1x2)

LCM = 25558230576/2

LCM = 12779115288

Thus, we can understand that the LCM of 289,771,536,214 is 12779115288.

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

• LCM of 250, 636, 245, 161
• LCM of 941, 435, 121, 506
• LCM of 964, 304, 592, 380
• LCM of 589, 699, 250, 971
• LCM of 424, 149, 121, 920

1. What is the LCM of 289, 771, 536, 214?

Answer: LCM of 289, 771, 536, 214 is 12779115288.

2. How to calculate the LCM of 289, 771, 536, 214?

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 289, 771, 536, 214.

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}.