Given numbers are 921,924,646,961,690

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

The LCM of 921,924,646,961,690 is 10125910793460.

Find LCM of 921,924,646,961,690 with Prime Factorization

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

2 x 3 x 307 x 154 x 323 x 961 x 115 = 10125910793460

Therefore, the lowest common multiple of 921,924,646,961,690 is 10125910793460.

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 924 x 646 x 961 x 690 = 364532788564560

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

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

961 : 1, 31, 961

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 921,924,646,961,690, is 1.

Now, the common factors can be found like this.

921:3x 307

924:2x 2x 3x 7x 11

646:2x 17x 19

961:31x 31

690:2x 3x 5x 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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 364532788564560/(1x36)

LCM = 364532788564560/36

LCM = 10125910793460

Thus, we can understand that the LCM of 921,924,646,961,690 is 10125910793460.

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

• LCM of 555, 556, 122, 135, 238
• LCM of 725, 196, 282, 904, 309
• LCM of 681, 519, 826, 386, 159
• LCM of 909, 163, 527, 647, 454
• LCM of 837, 122, 825, 783, 769

1. What is the LCM of 921, 924, 646, 961, 690?

Answer: LCM of 921, 924, 646, 961, 690 is 10125910793460.

2. How to calculate the LCM of 921, 924, 646, 961, 690?

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, 924, 646, 961, 690.

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}.