Given numbers are 420,521,410,286

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

The LCM of 420,521,410,286 is 1282941660.

Find LCM of 420,521,410,286 with Prime Factorization

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

2 x 5 x 42 x 521 x 41 x 143 = 1282941660

Therefore, the lowest common multiple of 420,521,410,286 is 1282941660.

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.

420 x 521 x 410 x 286 = 25658833200

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

521 : 1, 521

410 : 1, 2, 5, 10, 41, 82, 205, 410

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 420,521,410,286, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

521:521

410:2x 5x 41

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 2x 5 = 20

Therefore, the value for common factors is 20.

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 = 25658833200/(1x20)

LCM = 25658833200/20

LCM = 1282941660

Thus, we can understand that the LCM of 420,521,410,286 is 1282941660.

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

• LCM of 793, 976, 883, 493
• LCM of 484, 482, 950, 771
• LCM of 771, 954, 661, 517
• LCM of 304, 485, 352, 403
• LCM of 463, 758, 806, 909

1. What is the LCM of 420, 521, 410, 286?

Answer: LCM of 420, 521, 410, 286 is 1282941660.

2. How to calculate the LCM of 420, 521, 410, 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 420, 521, 410, 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}.