Given numbers are 614,351,122,488

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

The LCM of 614,351,122,488 is 52585416.

Find LCM of 614,351,122,488 with Prime Factorization

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

2 x 61 x 307 x 351 x 1 x 4 = 52585416

Therefore, the lowest common multiple of 614,351,122,488 is 52585416.

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.

614 x 351 x 122 x 488 = 12830841504

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.

614 : 1, 2, 307, 614

351 : 1, 3, 9, 13, 27, 39, 117, 351

122 : 1, 2, 61, 122

488 : 1, 2, 4, 8, 61, 122, 244, 488

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,351,122,488, is 1.

Now, the common factors can be found like this.

614:2x 307

351:3x 3x 3x 13

122:2x 61

488:2x 2x 2x 61

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 61 = 244

Therefore, the value for common factors is 244.

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 = 12830841504/(1x244)

LCM = 12830841504/244

LCM = 52585416

Thus, we can understand that the LCM of 614,351,122,488 is 52585416.

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

• LCM of 880, 214, 263, 534
• LCM of 680, 486, 579, 658
• LCM of 102, 103, 718, 368
• LCM of 612, 331, 656, 942
• LCM of 810, 830, 230, 501

1. What is the LCM of 614, 351, 122, 488?

Answer: LCM of 614, 351, 122, 488 is 52585416.

2. How to calculate the LCM of 614, 351, 122, 488?

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 614, 351, 122, 488.

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}.