Given numbers are 280,304,190,202,790

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

The LCM of 280,304,190,202,790 is 84896560.

Find LCM of 280,304,190,202,790 with Prime Factorization

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

2 x 2 x 2 x 5 x 19 x 7 x 2 x 1 x 101 x 79 = 84896560

Therefore, the lowest common multiple of 280,304,190,202,790 is 84896560.

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.

280 x 304 x 190 x 202 x 790 = 2580855424000

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.

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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

202 : 1, 2, 101, 202

790 : 1, 2, 5, 10, 79, 158, 395, 790

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,304,190,202,790, is 2.

Now, the common factors can be found like this.

280:2x 2x 2x 5x 7

304:2x 2x 2x 2x 19

190:2x 5x 19

202:2x 101

790:2x 5x 79

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 2x 5x 5x 19 = 15200

Therefore, the value for common factors is 15200.

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 = 2580855424000/(2x15200)

LCM = 2580855424000/30400

LCM = 84896560

Thus, we can understand that the LCM of 280,304,190,202,790 is 84896560.

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

• LCM of 868, 868, 282, 885, 290
• LCM of 121, 532, 128, 373, 965
• LCM of 620, 773, 815, 878, 630
• LCM of 885, 432, 805, 978, 505
• LCM of 705, 665, 147, 815, 120

1. What is the LCM of 280, 304, 190, 202, 790?

Answer: LCM of 280, 304, 190, 202, 790 is 84896560.

2. How to calculate the LCM of 280, 304, 190, 202, 790?

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 280, 304, 190, 202, 790.

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}.