Given numbers are 642,278,490,419

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

The LCM of 642,278,490,419 is 9160726890.

Find LCM of 642,278,490,419 with Prime Factorization

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

2 x 321 x 139 x 245 x 419 = 9160726890

Therefore, the lowest common multiple of 642,278,490,419 is 9160726890.

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.

642 x 278 x 490 x 419 = 36642907560

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.

642 : 1, 2, 3, 6, 107, 214, 321, 642

278 : 1, 2, 139, 278

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

419 : 1, 419

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,278,490,419, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

278:2x 139

490:2x 5x 7x 7

419:419

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 = 36642907560/(1x4)

LCM = 36642907560/4

LCM = 9160726890

Thus, we can understand that the LCM of 642,278,490,419 is 9160726890.

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

• LCM of 311, 730, 669, 748
• LCM of 323, 120, 500, 347
• LCM of 556, 796, 794, 330
• LCM of 509, 942, 116, 949
• LCM of 364, 279, 869, 120

1. What is the LCM of 642, 278, 490, 419?

Answer: LCM of 642, 278, 490, 419 is 9160726890.

2. How to calculate the LCM of 642, 278, 490, 419?

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 642, 278, 490, 419.

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}.