Given numbers are 426,221,379,286

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

The LCM of 426,221,379,286 is 392494674.

Find LCM of 426,221,379,286 with Prime Factorization

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

2 x 13 x 213 x 17 x 379 x 11 = 392494674

Therefore, the lowest common multiple of 426,221,379,286 is 392494674.

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.

426 x 221 x 379 x 286 = 10204861524

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

221 : 1, 13, 17, 221

379 : 1, 379

286 : 1, 2, 11, 13, 22, 26, 143, 286

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,221,379,286, is 1.

Now, the common factors can be found like this.

426:2x 3x 71

221:13x 17

379:379

286:2x 11x 13

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 = 10204861524/(1x26)

LCM = 10204861524/26

LCM = 392494674

Thus, we can understand that the LCM of 426,221,379,286 is 392494674.

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

• LCM of 661, 562, 402, 236
• LCM of 178, 832, 500, 278
• LCM of 719, 410, 139, 598
• LCM of 301, 285, 592, 392
• LCM of 328, 179, 276, 772

1. What is the LCM of 426, 221, 379, 286?

Answer: LCM of 426, 221, 379, 286 is 392494674.

2. How to calculate the LCM of 426, 221, 379, 286?

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 426, 221, 379, 286.

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}.