Given numbers are 385,289,867,149

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

The LCM of 385,289,867,149 is 49735455.

Find LCM of 385,289,867,149 with Prime Factorization

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

17 x 17 x 385 x 1 x 3 x 149 = 49735455

Therefore, the lowest common multiple of 385,289,867,149 is 49735455.

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.

385 x 289 x 867 x 149 = 14373546495

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.

385 : 1, 5, 7, 11, 35, 55, 77, 385

289 : 1, 17, 289

867 : 1, 3, 17, 51, 289, 867

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 385,289,867,149, is 1.

Now, the common factors can be found like this.

385:5x 7x 11

289:17x 17

867:3x 17x 17

149:149

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

17x 17 = 289

Therefore, the value for common factors is 289.

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 = 14373546495/(1x289)

LCM = 14373546495/289

LCM = 49735455

Thus, we can understand that the LCM of 385,289,867,149 is 49735455.

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

• LCM of 932, 964, 573, 752
• LCM of 768, 332, 728, 254
• LCM of 198, 849, 851, 126
• LCM of 684, 710, 601, 394
• LCM of 491, 295, 905, 265

1. What is the LCM of 385, 289, 867, 149?

Answer: LCM of 385, 289, 867, 149 is 49735455.

2. How to calculate the LCM of 385, 289, 867, 149?

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 385, 289, 867, 149.

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}.