Given numbers are 214,478,854,770,552

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

The LCM of 214,478,854,770,552 is 331521211560.

Find LCM of 214,478,854,770,552 with Prime Factorization

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

2 x 7 x 107 x 239 x 61 x 55 x 276 = 331521211560

Therefore, the lowest common multiple of 214,478,854,770,552 is 331521211560.

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.

214 x 478 x 854 x 770 x 552 = 37130375694720

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.

214 : 1, 2, 107, 214

478 : 1, 2, 239, 478

854 : 1, 2, 7, 14, 61, 122, 427, 854

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,478,854,770,552, is 2.

Now, the common factors can be found like this.

214:2x 107

478:2x 239

854:2x 7x 61

770:2x 5x 7x 11

552:2x 2x 2x 3x 23

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 7 = 56

Therefore, the value for common factors is 56.

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 = 37130375694720/(2x56)

LCM = 37130375694720/112

LCM = 331521211560

Thus, we can understand that the LCM of 214,478,854,770,552 is 331521211560.

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

• LCM of 404, 988, 526, 857, 992
• LCM of 418, 981, 561, 625, 165
• LCM of 376, 767, 773, 533, 196
• LCM of 434, 701, 687, 218, 971
• LCM of 815, 590, 487, 917, 153

1. What is the LCM of 214, 478, 854, 770, 552?

Answer: LCM of 214, 478, 854, 770, 552 is 331521211560.

2. How to calculate the LCM of 214, 478, 854, 770, 552?

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 214, 478, 854, 770, 552.

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}.