Given numbers are 385,514,536,213

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

The LCM of 385,514,536,213 is 11296352760.

Find LCM of 385,514,536,213 with Prime Factorization

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

2 x 385 x 257 x 268 x 213 = 11296352760

Therefore, the lowest common multiple of 385,514,536,213 is 11296352760.

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 514 x 536 x 213 = 22592705520

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

514 : 1, 2, 257, 514

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

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 385,514,536,213, is 1.

Now, the common factors can be found like this.

385:5x 7x 11

514:2x 257

536:2x 2x 2x 67

213:3x 71

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 = 22592705520/(1x2)

LCM = 22592705520/2

LCM = 11296352760

Thus, we can understand that the LCM of 385,514,536,213 is 11296352760.

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

• LCM of 323, 922, 313, 978
• LCM of 490, 669, 588, 261
• LCM of 995, 298, 115, 116
• LCM of 355, 497, 100, 774
• LCM of 897, 272, 633, 422

1. What is the LCM of 385, 514, 536, 213?

Answer: LCM of 385, 514, 536, 213 is 11296352760.

2. How to calculate the LCM of 385, 514, 536, 213?

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, 514, 536, 213.

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}.