Given numbers are 281,248,390,580,190

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

The LCM of 281,248,390,580,190 is 7487627160.

Find LCM of 281,248,390,580,190 with Prime Factorization

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

2 x 2 x 5 x 281 x 62 x 39 x 29 x 19 = 7487627160

Therefore, the lowest common multiple of 281,248,390,580,190 is 7487627160.

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.

281 x 248 x 390 x 580 x 190 = 2995050864000

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.

281 : 1, 281

248 : 1, 2, 4, 8, 31, 62, 124, 248

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

190 : 1, 2, 5, 10, 19, 38, 95, 190

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,248,390,580,190, is 1.

Now, the common factors can be found like this.

281:281

248:2x 2x 2x 31

390:2x 3x 5x 13

580:2x 2x 5x 29

190:2x 5x 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 2x 2x 2x 5x 5 = 400

Therefore, the value for common factors is 400.

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 = 2995050864000/(1x400)

LCM = 2995050864000/400

LCM = 7487627160

Thus, we can understand that the LCM of 281,248,390,580,190 is 7487627160.

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

• LCM of 135, 257, 167, 991, 881
• LCM of 928, 594, 692, 822, 731
• LCM of 189, 367, 195, 483, 946
• LCM of 241, 656, 501, 723, 937
• LCM of 706, 971, 753, 657, 119

1. What is the LCM of 281, 248, 390, 580, 190?

Answer: LCM of 281, 248, 390, 580, 190 is 7487627160.

2. How to calculate the LCM of 281, 248, 390, 580, 190?

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 281, 248, 390, 580, 190.

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}.