Given numbers are 921,990,951,969,646

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

The LCM of 921,990,951,969,646 is 31119696630.

Find LCM of 921,990,951,969,646 with Prime Factorization

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

2 x 3 x 17 x 19 x 307 x 165 x 317 x 1 x 1 = 31119696630

Therefore, the lowest common multiple of 921,990,951,969,646 is 31119696630.

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.

921 x 990 x 951 x 969 x 646 = 542789748620460

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.

921 : 1, 3, 307, 921

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

951 : 1, 3, 317, 951

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

646 : 1, 2, 17, 19, 34, 38, 323, 646

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 921,990,951,969,646, is 1.

Now, the common factors can be found like this.

921:3x 307

990:2x 3x 3x 5x 11

951:3x 317

969:3x 17x 19

646:2x 17x 19

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

2x 3x 3x 3x 17x 19 = 17442

Therefore, the value for common factors is 17442.

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 = 542789748620460/(1x17442)

LCM = 542789748620460/17442

LCM = 31119696630

Thus, we can understand that the LCM of 921,990,951,969,646 is 31119696630.

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

• LCM of 870, 153, 872, 570, 880
• LCM of 651, 869, 611, 161, 229
• LCM of 126, 710, 123, 267, 470
• LCM of 442, 690, 237, 480, 403
• LCM of 895, 200, 942, 541, 499

1. What is the LCM of 921, 990, 951, 969, 646?

Answer: LCM of 921, 990, 951, 969, 646 is 31119696630.

2. How to calculate the LCM of 921, 990, 951, 969, 646?

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 921, 990, 951, 969, 646.

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}.