Given numbers are 379,689,208,418

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

The LCM of 379,689,208,418 is 873222064.

Find LCM of 379,689,208,418 with Prime Factorization

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

2 x 13 x 379 x 53 x 8 x 209 = 873222064

Therefore, the lowest common multiple of 379,689,208,418 is 873222064.

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.

379 x 689 x 208 x 418 = 22703773664

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.

379 : 1, 379

689 : 1, 13, 53, 689

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

418 : 1, 2, 11, 19, 22, 38, 209, 418

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,689,208,418, is 1.

Now, the common factors can be found like this.

379:379

689:13x 53

208:2x 2x 2x 2x 13

418:2x 11x 19

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 22703773664/(1x26)

LCM = 22703773664/26

LCM = 873222064

Thus, we can understand that the LCM of 379,689,208,418 is 873222064.

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

• LCM of 290, 752, 125, 615
• LCM of 660, 153, 505, 426
• LCM of 900, 846, 845, 355
• LCM of 643, 105, 989, 566
• LCM of 998, 764, 576, 404

1. What is the LCM of 379, 689, 208, 418?

Answer: LCM of 379, 689, 208, 418 is 873222064.

2. How to calculate the LCM of 379, 689, 208, 418?

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 379, 689, 208, 418.

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}.