Given numbers are 289,375,106,212

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

The LCM of 289,375,106,212 is 22975500.

Find LCM of 289,375,106,212 with Prime Factorization

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

2 x 53 x 289 x 375 x 1 x 2 = 22975500

Therefore, the lowest common multiple of 289,375,106,212 is 22975500.

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 375 x 106 x 212 = 2435403000

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

375 : 1, 3, 5, 15, 25, 75, 125, 375

106 : 1, 2, 53, 106

212 : 1, 2, 4, 53, 106, 212

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,375,106,212, is 1.

Now, the common factors can be found like this.

289:17x 17

375:3x 5x 5x 5

106:2x 53

212:2x 2x 53

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

2x 53 = 106

Therefore, the value for common factors is 106.

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 = 2435403000/(1x106)

LCM = 2435403000/106

LCM = 22975500

Thus, we can understand that the LCM of 289,375,106,212 is 22975500.

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

• LCM of 934, 360, 503, 794
• LCM of 566, 547, 708, 228
• LCM of 305, 970, 373, 392
• LCM of 522, 868, 904, 190
• LCM of 211, 745, 378, 645

1. What is the LCM of 289, 375, 106, 212?

Answer: LCM of 289, 375, 106, 212 is 22975500.

2. How to calculate the LCM of 289, 375, 106, 212?

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, 375, 106, 212.

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}.