Given numbers are 278,354,608

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

The LCM of 278,354,608 is 14958624.

Find LCM of 278,354,608 with Prime Factorization

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

2 x 139 x 177 x 304 = 14958624

Therefore, the lowest common multiple of 278,354,608 is 14958624.

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.

278 x 354 x 608 = 59834496

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.

278 : 1, 2, 139, 278

354 : 1, 2, 3, 6, 59, 118, 177, 354

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,354,608, is 2.

Now, the common factors can be found like this.

278:2x 139

354:2x 3x 59

608:2x 2x 2x 2x 2x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 59834496/(2x2)

LCM = 59834496/4

LCM = 14958624

Thus, we can understand that the LCM of 278,354,608 is 14958624.

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

• LCM of 622, 653, 909
• LCM of 540, 786, 323
• LCM of 106, 490, 834
• LCM of 265, 692, 251
• LCM of 386, 247, 655

1. What is the LCM of 278, 354, 608?

Answer: LCM of 278, 354, 608 is 14958624.

2. How to calculate the LCM of 278, 354, 608?

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 278, 354, 608.

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}.