Given numbers are 314,378,398,778

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

The LCM of 314,378,398,778 is 4594033206.

Find LCM of 314,378,398,778 with Prime Factorization

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

2 x 157 x 189 x 199 x 389 = 4594033206

Therefore, the lowest common multiple of 314,378,398,778 is 4594033206.

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.

314 x 378 x 398 x 778 = 36752265648

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.

314 : 1, 2, 157, 314

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

398 : 1, 2, 199, 398

778 : 1, 2, 389, 778

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,378,398,778, is 2.

Now, the common factors can be found like this.

314:2x 157

378:2x 3x 3x 3x 7

398:2x 199

778:2x 389

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 = 36752265648/(2x4)

LCM = 36752265648/8

LCM = 4594033206

Thus, we can understand that the LCM of 314,378,398,778 is 4594033206.

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

• LCM of 685, 114, 123, 257
• LCM of 823, 230, 843, 793
• LCM of 601, 870, 659, 857
• LCM of 491, 865, 167, 297
• LCM of 246, 372, 661, 232

1. What is the LCM of 314, 378, 398, 778?

Answer: LCM of 314, 378, 398, 778 is 4594033206.

2. How to calculate the LCM of 314, 378, 398, 778?

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 314, 378, 398, 778.

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}.