Given numbers are 901,208,756,286

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

The LCM of 901,208,756,286 is 389621232.

Find LCM of 901,208,756,286 with Prime Factorization

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

2 x 2 x 13 x 901 x 4 x 189 x 11 = 389621232

Therefore, the lowest common multiple of 901,208,756,286 is 389621232.

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.

901 x 208 x 756 x 286 = 40520608128

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.

901 : 1, 17, 53, 901

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

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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 901,208,756,286, is 1.

Now, the common factors can be found like this.

901:17x 53

208:2x 2x 2x 2x 13

756:2x 2x 3x 3x 3x 7

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 2x 13 = 104

Therefore, the value for common factors is 104.

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 = 40520608128/(1x104)

LCM = 40520608128/104

LCM = 389621232

Thus, we can understand that the LCM of 901,208,756,286 is 389621232.

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

• LCM of 128, 696, 591, 101
• LCM of 543, 707, 109, 182
• LCM of 181, 785, 275, 607
• LCM of 826, 991, 266, 827
• LCM of 238, 863, 108, 870

1. What is the LCM of 901, 208, 756, 286?

Answer: LCM of 901, 208, 756, 286 is 389621232.

2. How to calculate the LCM of 901, 208, 756, 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 901, 208, 756, 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}.