Given numbers are 304,968,278,408

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

The LCM of 304,968,278,408 is 260761776.

Find LCM of 304,968,278,408 with Prime Factorization

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

2 x 2 x 2 x 38 x 121 x 139 x 51 = 260761776

Therefore, the lowest common multiple of 304,968,278,408 is 260761776.

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.

304 x 968 x 278 x 408 = 33377507328

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.

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

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

278 : 1, 2, 139, 278

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,968,278,408, is 2.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

968:2x 2x 2x 11x 11

278:2x 139

408:2x 2x 2x 3x 17

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 2 = 64

Therefore, the value for common factors is 64.

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 = 33377507328/(2x64)

LCM = 33377507328/128

LCM = 260761776

Thus, we can understand that the LCM of 304,968,278,408 is 260761776.

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

• LCM of 657, 889, 667, 322
• LCM of 452, 386, 666, 599
• LCM of 768, 266, 609, 812
• LCM of 769, 187, 115, 711
• LCM of 499, 845, 286, 419

1. What is the LCM of 304, 968, 278, 408?

Answer: LCM of 304, 968, 278, 408 is 260761776.

2. How to calculate the LCM of 304, 968, 278, 408?

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 304, 968, 278, 408.

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}.