Given numbers are 214,122,959,488

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

The LCM of 214,122,959,488 is 50075144.

Find LCM of 214,122,959,488 with Prime Factorization

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

2 x 61 x 107 x 1 x 959 x 4 = 50075144

Therefore, the lowest common multiple of 214,122,959,488 is 50075144.

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 122 x 959 x 488 = 12218335136

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

122 : 1, 2, 61, 122

959 : 1, 7, 137, 959

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 214,122,959,488, is 1.

Now, the common factors can be found like this.

214:2x 107

122:2x 61

959:7x 137

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 = 12218335136/(1x244)

LCM = 12218335136/244

LCM = 50075144

Thus, we can understand that the LCM of 214,122,959,488 is 50075144.

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

• LCM of 756, 199, 590, 921
• LCM of 275, 583, 616, 815
• LCM of 882, 966, 834, 322
• LCM of 483, 825, 348, 888
• LCM of 819, 358, 272, 116

1. What is the LCM of 214, 122, 959, 488?

Answer: LCM of 214, 122, 959, 488 is 50075144.

2. How to calculate the LCM of 214, 122, 959, 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 214, 122, 959, 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}.