Given numbers are 302,278,370,580

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

The LCM of 302,278,370,580 is 450423940.

Find LCM of 302,278,370,580 with Prime Factorization

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

2 x 5 x 151 x 139 x 37 x 58 = 450423940

Therefore, the lowest common multiple of 302,278,370,580 is 450423940.

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.

302 x 278 x 370 x 580 = 18016957600

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.

302 : 1, 2, 151, 302

278 : 1, 2, 139, 278

370 : 1, 2, 5, 10, 37, 74, 185, 370

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,278,370,580, is 2.

Now, the common factors can be found like this.

302:2x 151

278:2x 139

370:2x 5x 37

580:2x 2x 5x 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 5 = 20

Therefore, the value for common factors is 20.

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 = 18016957600/(2x20)

LCM = 18016957600/40

LCM = 450423940

Thus, we can understand that the LCM of 302,278,370,580 is 450423940.

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

• LCM of 563, 986, 668, 621
• LCM of 759, 665, 650, 601
• LCM of 770, 783, 975, 914
• LCM of 702, 767, 807, 111
• LCM of 809, 923, 747, 697

1. What is the LCM of 302, 278, 370, 580?

Answer: LCM of 302, 278, 370, 580 is 450423940.

2. How to calculate the LCM of 302, 278, 370, 580?

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 302, 278, 370, 580.

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}.