Given numbers are 969,528,986,916

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

The LCM of 969,528,986,916 is 1132582704.

Find LCM of 969,528,986,916 with Prime Factorization

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

2 x 2 x 3 x 17 x 19 x 44 x 29 x 229 = 1132582704

Therefore, the lowest common multiple of 969,528,986,916 is 1132582704.

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.

969 x 528 x 986 x 916 = 462093743232

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.

969 : 1, 3, 17, 19, 51, 57, 323, 969

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

986 : 1, 2, 17, 29, 34, 58, 493, 986

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,528,986,916, is 1.

Now, the common factors can be found like this.

969:3x 17x 19

528:2x 2x 2x 2x 3x 11

986:2x 17x 29

916:2x 2x 229

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 3x 17 = 408

Therefore, the value for common factors is 408.

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 = 462093743232/(1x408)

LCM = 462093743232/408

LCM = 1132582704

Thus, we can understand that the LCM of 969,528,986,916 is 1132582704.

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

• LCM of 627, 629, 309, 277
• LCM of 163, 903, 450, 341
• LCM of 490, 795, 504, 288
• LCM of 280, 233, 581, 348
• LCM of 300, 928, 984, 438

1. What is the LCM of 969, 528, 986, 916?

Answer: LCM of 969, 528, 986, 916 is 1132582704.

2. How to calculate the LCM of 969, 528, 986, 916?

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 969, 528, 986, 916.

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}.