Given numbers are 278,414,832

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

The LCM of 278,414,832 is 23939136.

Find LCM of 278,414,832 with Prime Factorization

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

2 x 139 x 207 x 416 = 23939136

Therefore, the lowest common multiple of 278,414,832 is 23939136.

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 414 x 832 = 95756544

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,414,832, is 2.

Now, the common factors can be found like this.

278:2x 139

414:2x 3x 3x 23

832:2x 2x 2x 2x 2x 2x 13

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 = 95756544/(2x2)

LCM = 95756544/4

LCM = 23939136

Thus, we can understand that the LCM of 278,414,832 is 23939136.

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

• LCM of 304, 630, 839
• LCM of 962, 320, 704
• LCM of 231, 229, 118
• LCM of 550, 585, 439
• LCM of 981, 381, 399

1. What is the LCM of 278, 414, 832?

Answer: LCM of 278, 414, 832 is 23939136.

2. How to calculate the LCM of 278, 414, 832?

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, 414, 832.

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}.