Given numbers are 278,278,357,449,461

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

The LCM of 278,278,357,449,461 is 20542830294.

Find LCM of 278,278,357,449,461 with Prime Factorization

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

2 x 139 x 1 x 1 x 357 x 449 x 461 = 20542830294

Therefore, the lowest common multiple of 278,278,357,449,461 is 20542830294.

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 278 x 357 x 449 x 461 = 5710906821732

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

278 : 1, 2, 139, 278

357 : 1, 3, 7, 17, 21, 51, 119, 357

449 : 1, 449

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,278,357,449,461, is 1.

Now, the common factors can be found like this.

278:2x 139

278:2x 139

357:3x 7x 17

449:449

461:461

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

2x 139 = 278

Therefore, the value for common factors is 278.

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 = 5710906821732/(1x278)

LCM = 5710906821732/278

LCM = 20542830294

Thus, we can understand that the LCM of 278,278,357,449,461 is 20542830294.

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

• LCM of 698, 663, 864, 103, 224
• LCM of 904, 996, 799, 421, 529
• LCM of 506, 955, 731, 406, 267
• LCM of 503, 590, 662, 765, 942
• LCM of 486, 723, 805, 858, 490

1. What is the LCM of 278, 278, 357, 449, 461?

Answer: LCM of 278, 278, 357, 449, 461 is 20542830294.

2. How to calculate the LCM of 278, 278, 357, 449, 461?

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, 278, 357, 449, 461.

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}.