Given numbers are 890,351,242,320,454

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

The LCM of 890,351,242,320,454 is 274573316160.

Find LCM of 890,351,242,320,454 with Prime Factorization

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

2 x 5 x 89 x 351 x 121 x 32 x 227 = 274573316160

Therefore, the lowest common multiple of 890,351,242,320,454 is 274573316160.

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.

890 x 351 x 242 x 320 x 454 = 10982932646400

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.

890 : 1, 2, 5, 10, 89, 178, 445, 890

351 : 1, 3, 9, 13, 27, 39, 117, 351

242 : 1, 2, 11, 22, 121, 242

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

454 : 1, 2, 227, 454

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 890,351,242,320,454, is 1.

Now, the common factors can be found like this.

890:2x 5x 89

351:3x 3x 3x 13

242:2x 11x 11

320:2x 2x 2x 2x 2x 2x 5

454:2x 227

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 5 = 40

Therefore, the value for common factors is 40.

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 = 10982932646400/(1x40)

LCM = 10982932646400/40

LCM = 274573316160

Thus, we can understand that the LCM of 890,351,242,320,454 is 274573316160.

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

• LCM of 801, 291, 801, 706, 853
• LCM of 204, 910, 671, 756, 852
• LCM of 281, 623, 246, 173, 998
• LCM of 880, 711, 142, 192, 164
• LCM of 949, 786, 412, 947, 758

1. What is the LCM of 890, 351, 242, 320, 454?

Answer: LCM of 890, 351, 242, 320, 454 is 274573316160.

2. How to calculate the LCM of 890, 351, 242, 320, 454?

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 890, 351, 242, 320, 454.

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}.