Given numbers are 901,832,409,207,940

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

The LCM of 901,832,409,207,940 is 14914532093760.

Find LCM of 901,832,409,207,940 with Prime Factorization

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

2 x 2 x 901 x 208 x 409 x 207 x 235 = 14914532093760

Therefore, the lowest common multiple of 901,832,409,207,940 is 14914532093760.

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 832 x 409 x 207 x 940 = 59658128375040

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

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

409 : 1, 409

207 : 1, 3, 9, 23, 69, 207

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,832,409,207,940, is 1.

Now, the common factors can be found like this.

901:17x 53

832:2x 2x 2x 2x 2x 2x 13

409:409

207:3x 3x 23

940:2x 2x 5x 47

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 = 59658128375040/(1x4)

LCM = 59658128375040/4

LCM = 14914532093760

Thus, we can understand that the LCM of 901,832,409,207,940 is 14914532093760.

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

• LCM of 435, 433, 449, 768, 441
• LCM of 111, 514, 230, 545, 278
• LCM of 434, 162, 503, 913, 700
• LCM of 948, 576, 426, 564, 466
• LCM of 364, 609, 592, 829, 819

1. What is the LCM of 901, 832, 409, 207, 940?

Answer: LCM of 901, 832, 409, 207, 940 is 14914532093760.

2. How to calculate the LCM of 901, 832, 409, 207, 940?

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, 832, 409, 207, 940.

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}.