Given numbers are 278,398,463,404

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

The LCM of 278,398,463,404 is 5174045372.

Find LCM of 278,398,463,404 with Prime Factorization

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

2 x 139 x 199 x 463 x 202 = 5174045372

Therefore, the lowest common multiple of 278,398,463,404 is 5174045372.

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 398 x 463 x 404 = 20696181488

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

398 : 1, 2, 199, 398

463 : 1, 463

404 : 1, 2, 4, 101, 202, 404

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,398,463,404, is 1.

Now, the common factors can be found like this.

278:2x 139

398:2x 199

463:463

404:2x 2x 101

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 20696181488/(1x4)

LCM = 20696181488/4

LCM = 5174045372

Thus, we can understand that the LCM of 278,398,463,404 is 5174045372.

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

• LCM of 797, 714, 117, 813
• LCM of 149, 498, 381, 212
• LCM of 412, 725, 346, 638
• LCM of 918, 891, 391, 602
• LCM of 357, 595, 513, 615

1. What is the LCM of 278, 398, 463, 404?

Answer: LCM of 278, 398, 463, 404 is 5174045372.

2. How to calculate the LCM of 278, 398, 463, 404?

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, 398, 463, 404.

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}.