Given numbers are 242,377,988,403,312

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

The LCM of 242,377,988,403,312 is 644841912.

Find LCM of 242,377,988,403,312 with Prime Factorization

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

2 x 2 x 13 x 121 x 29 x 19 x 31 x 6 = 644841912

Therefore, the lowest common multiple of 242,377,988,403,312 is 644841912.

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.

242 x 377 x 988 x 403 x 312 = 11333741445312

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.

242 : 1, 2, 11, 22, 121, 242

377 : 1, 13, 29, 377

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

403 : 1, 13, 31, 403

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 242,377,988,403,312, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

377:13x 29

988:2x 2x 13x 19

403:13x 31

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 13x 13x 13 = 17576

Therefore, the value for common factors is 17576.

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 = 11333741445312/(1x17576)

LCM = 11333741445312/17576

LCM = 644841912

Thus, we can understand that the LCM of 242,377,988,403,312 is 644841912.

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

• LCM of 251, 744, 926, 465, 293
• LCM of 356, 961, 979, 371, 696
• LCM of 160, 582, 240, 346, 256
• LCM of 934, 743, 592, 520, 838
• LCM of 568, 232, 671, 359, 640

1. What is the LCM of 242, 377, 988, 403, 312?

Answer: LCM of 242, 377, 988, 403, 312 is 644841912.

2. How to calculate the LCM of 242, 377, 988, 403, 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 242, 377, 988, 403, 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}.