Given numbers are 916,115,119,442

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

The LCM of 916,115,119,442 is 162960980.

Find LCM of 916,115,119,442 with Prime Factorization

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

2 x 17 x 458 x 115 x 7 x 13 = 162960980

Therefore, the lowest common multiple of 916,115,119,442 is 162960980.

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.

916 x 115 x 119 x 442 = 5540673320

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.

916 : 1, 2, 4, 229, 458, 916

115 : 1, 5, 23, 115

119 : 1, 7, 17, 119

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,115,119,442, is 1.

Now, the common factors can be found like this.

916:2x 2x 229

115:5x 23

119:7x 17

442:2x 13x 17

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 5540673320/(1x34)

LCM = 5540673320/34

LCM = 162960980

Thus, we can understand that the LCM of 916,115,119,442 is 162960980.

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

• LCM of 779, 818, 954, 712
• LCM of 475, 543, 819, 883
• LCM of 239, 285, 717, 139
• LCM of 873, 197, 524, 917
• LCM of 208, 581, 228, 376

1. What is the LCM of 916, 115, 119, 442?

Answer: LCM of 916, 115, 119, 442 is 162960980.

2. How to calculate the LCM of 916, 115, 119, 442?

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 916, 115, 119, 442.

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}.