Given numbers are 106,952,380,153,782

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

The LCM of 106,952,380,153,782 is 992217240.

Find LCM of 106,952,380,153,782 with Prime Factorization

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

2 x 2 x 17 x 53 x 14 x 95 x 9 x 23 = 992217240

Therefore, the lowest common multiple of 106,952,380,153,782 is 992217240.

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.

106 x 952 x 380 x 153 x 782 = 4588012517760

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.

106 : 1, 2, 53, 106

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

153 : 1, 3, 9, 17, 51, 153

782 : 1, 2, 17, 23, 34, 46, 391, 782

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,952,380,153,782, is 1.

Now, the common factors can be found like this.

106:2x 53

952:2x 2x 2x 7x 17

380:2x 2x 5x 19

153:3x 3x 17

782:2x 17x 23

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 2x 2x 17x 17 = 4624

Therefore, the value for common factors is 4624.

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 = 4588012517760/(1x4624)

LCM = 4588012517760/4624

LCM = 992217240

Thus, we can understand that the LCM of 106,952,380,153,782 is 992217240.

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

• LCM of 320, 787, 195, 834, 260
• LCM of 517, 941, 285, 410, 726
• LCM of 512, 985, 404, 976, 198
• LCM of 393, 148, 899, 947, 514
• LCM of 533, 516, 634, 526, 839

1. What is the LCM of 106, 952, 380, 153, 782?

Answer: LCM of 106, 952, 380, 153, 782 is 992217240.

2. How to calculate the LCM of 106, 952, 380, 153, 782?

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 106, 952, 380, 153, 782.

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}.