Given numbers are 214,774,759,664

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

The LCM of 214,774,759,664 is 6956380728.

Find LCM of 214,774,759,664 with Prime Factorization

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

2 x 3 x 107 x 129 x 253 x 332 = 6956380728

Therefore, the lowest common multiple of 214,774,759,664 is 6956380728.

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 774 x 759 x 664 = 83476568736

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

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

759 : 1, 3, 11, 23, 33, 69, 253, 759

664 : 1, 2, 4, 8, 83, 166, 332, 664

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,774,759,664, is 1.

Now, the common factors can be found like this.

214:2x 107

774:2x 3x 3x 43

759:3x 11x 23

664:2x 2x 2x 83

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 3 = 12

Therefore, the value for common factors is 12.

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 = 83476568736/(1x12)

LCM = 83476568736/12

LCM = 6956380728

Thus, we can understand that the LCM of 214,774,759,664 is 6956380728.

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

• LCM of 823, 375, 500, 940
• LCM of 957, 311, 897, 853
• LCM of 709, 508, 515, 331
• LCM of 236, 443, 942, 624
• LCM of 478, 689, 633, 886

1. What is the LCM of 214, 774, 759, 664?

Answer: LCM of 214, 774, 759, 664 is 6956380728.

2. How to calculate the LCM of 214, 774, 759, 664?

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, 774, 759, 664.

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}.