Given numbers are 401,252,720,918,310

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

The LCM of 401,252,720,918,310 is 3195264240.

Find LCM of 401,252,720,918,310 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 401 x 7 x 4 x 51 x 31 = 3195264240

Therefore, the lowest common multiple of 401,252,720,918,310 is 3195264240.

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.

401 x 252 x 720 x 918 x 310 = 20705312275200

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.

401 : 1, 401

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

310 : 1, 2, 5, 10, 31, 62, 155, 310

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,252,720,918,310, is 1.

Now, the common factors can be found like this.

401:401

252:2x 2x 3x 3x 7

720:2x 2x 2x 2x 3x 3x 5

918:2x 3x 3x 3x 17

310:2x 5x 31

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 2x 3x 3x 3x 3x 5 = 6480

Therefore, the value for common factors is 6480.

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 = 20705312275200/(1x6480)

LCM = 20705312275200/6480

LCM = 3195264240

Thus, we can understand that the LCM of 401,252,720,918,310 is 3195264240.

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

• LCM of 381, 927, 612, 993, 674
• LCM of 527, 127, 401, 867, 967
• LCM of 338, 739, 145, 576, 495
• LCM of 370, 299, 976, 797, 446
• LCM of 421, 504, 830, 272, 870

1. What is the LCM of 401, 252, 720, 918, 310?

Answer: LCM of 401, 252, 720, 918, 310 is 3195264240.

2. How to calculate the LCM of 401, 252, 720, 918, 310?

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 401, 252, 720, 918, 310.

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}.