Given numbers are 286,331,442,35

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

The LCM of 286,331,442,35 is 56326270.

Find LCM of 286,331,442,35 with Prime Factorization

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

2 x 13 x 11 x 331 x 17 x 35 = 56326270

Therefore, the lowest common multiple of 286,331,442,35 is 56326270.

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.

286 x 331 x 442 x 35 = 1464483020

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.

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

331 : 1, 331

442 : 1, 2, 13, 17, 26, 34, 221, 442

35 : 1, 5, 7, 35

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,331,442,35, is 1.

Now, the common factors can be found like this.

286:2x 11x 13

331:331

442:2x 13x 17

35:5x 7

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 = 1464483020/(1x26)

LCM = 1464483020/26

LCM = 56326270

Thus, we can understand that the LCM of 286,331,442,35 is 56326270.

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

• LCM of 126, 688, 117, 16
• LCM of 989, 349, 167, 18
• LCM of 314, 773, 274, 39
• LCM of 337, 980, 958, 58
• LCM of 238, 369, 555, 26

1. What is the LCM of 286, 331, 442, 35?

Answer: LCM of 286, 331, 442, 35 is 56326270.

2. How to calculate the LCM of 286, 331, 442, 35?

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 286, 331, 442, 35.

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}.