Given numbers are 366,918,988,291,312

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

The LCM of 366,918,988,291,312 is 5366624328.

Find LCM of 366,918,988,291,312 with Prime Factorization

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

2 x 2 x 3 x 13 x 61 x 153 x 19 x 97 x 2 = 5366624328

Therefore, the lowest common multiple of 366,918,988,291,312 is 5366624328.

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.

366 x 918 x 988 x 291 x 312 = 30138962226048

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.

366 : 1, 2, 3, 6, 61, 122, 183, 366

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

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

291 : 1, 3, 97, 291

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,918,988,291,312, is 1.

Now, the common factors can be found like this.

366:2x 3x 61

918:2x 3x 3x 3x 17

988:2x 2x 13x 19

291:3x 97

312:2x 2x 2x 3x 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 2x 3x 3x 3x 13 = 5616

Therefore, the value for common factors is 5616.

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 = 30138962226048/(1x5616)

LCM = 30138962226048/5616

LCM = 5366624328

Thus, we can understand that the LCM of 366,918,988,291,312 is 5366624328.

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

• LCM of 946, 350, 657, 177, 527
• LCM of 565, 611, 269, 455, 234
• LCM of 657, 740, 927, 674, 166
• LCM of 486, 492, 163, 387, 333
• LCM of 171, 848, 901, 464, 109

1. What is the LCM of 366, 918, 988, 291, 312?

Answer: LCM of 366, 918, 988, 291, 312 is 5366624328.

2. How to calculate the LCM of 366, 918, 988, 291, 312?

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 366, 918, 988, 291, 312.

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}.