Given numbers are 824,106,742,213

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

The LCM of 824,106,742,213 is 65114952.

Find LCM of 824,106,742,213 with Prime Factorization

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

2 x 53 x 412 x 1 x 7 x 213 = 65114952

Therefore, the lowest common multiple of 824,106,742,213 is 65114952.

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.

824 x 106 x 742 x 213 = 13804369824

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.

824 : 1, 2, 4, 8, 103, 206, 412, 824

106 : 1, 2, 53, 106

742 : 1, 2, 7, 14, 53, 106, 371, 742

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,106,742,213, is 1.

Now, the common factors can be found like this.

824:2x 2x 2x 103

106:2x 53

742:2x 7x 53

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.

2x 2x 53 = 212

Therefore, the value for common factors is 212.

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 = 13804369824/(1x212)

LCM = 13804369824/212

LCM = 65114952

Thus, we can understand that the LCM of 824,106,742,213 is 65114952.

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

• LCM of 586, 693, 131, 748
• LCM of 757, 628, 653, 308
• LCM of 619, 105, 114, 949
• LCM of 623, 979, 509, 301
• LCM of 346, 650, 372, 966

1. What is the LCM of 824, 106, 742, 213?

Answer: LCM of 824, 106, 742, 213 is 65114952.

2. How to calculate the LCM of 824, 106, 742, 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 824, 106, 742, 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}.