Given numbers are 468,424,849,154,957

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

The LCM of 468,424,849,154,957 is 31349229912.

Find LCM of 468,424,849,154,957 with Prime Factorization

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

2 x 2 x 3 x 11 x 39 x 106 x 283 x 7 x 29 = 31349229912

Therefore, the lowest common multiple of 468,424,849,154,957 is 31349229912.

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.

468 x 424 x 849 x 154 x 957 = 24828590090304

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

424 : 1, 2, 4, 8, 53, 106, 212, 424

849 : 1, 3, 283, 849

154 : 1, 2, 7, 11, 14, 22, 77, 154

957 : 1, 3, 11, 29, 33, 87, 319, 957

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,424,849,154,957, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

424:2x 2x 2x 53

849:3x 283

154:2x 7x 11

957:3x 11x 29

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 3x 11 = 792

Therefore, the value for common factors is 792.

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 = 24828590090304/(1x792)

LCM = 24828590090304/792

LCM = 31349229912

Thus, we can understand that the LCM of 468,424,849,154,957 is 31349229912.

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

• LCM of 544, 868, 177, 959, 947
• LCM of 127, 990, 420, 373, 935
• LCM of 910, 966, 307, 917, 527
• LCM of 470, 686, 993, 643, 967
• LCM of 483, 504, 487, 257, 732

1. What is the LCM of 468, 424, 849, 154, 957?

Answer: LCM of 468, 424, 849, 154, 957 is 31349229912.

2. How to calculate the LCM of 468, 424, 849, 154, 957?

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 468, 424, 849, 154, 957.

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}.