Given numbers are 214,969,306,952,860

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

The LCM of 214,969,306,952,860 is 3745029960.

Find LCM of 214,969,306,952,860 with Prime Factorization

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

2 x 2 x 3 x 17 x 107 x 19 x 3 x 14 x 215 = 3745029960

Therefore, the lowest common multiple of 214,969,306,952,860 is 3745029960.

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 969 x 306 x 952 x 860 = 51951055605120

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

969 : 1, 3, 17, 19, 51, 57, 323, 969

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,969,306,952,860, is 1.

Now, the common factors can be found like this.

214:2x 107

969:3x 17x 19

306:2x 3x 3x 17

952:2x 2x 2x 7x 17

860:2x 2x 5x 43

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 2x 3x 17x 17 = 13872

Therefore, the value for common factors is 13872.

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 = 51951055605120/(1x13872)

LCM = 51951055605120/13872

LCM = 3745029960

Thus, we can understand that the LCM of 214,969,306,952,860 is 3745029960.

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

• LCM of 525, 763, 768, 320, 708
• LCM of 253, 178, 808, 927, 589
• LCM of 381, 593, 380, 858, 989
• LCM of 476, 686, 427, 736, 275
• LCM of 597, 730, 964, 175, 189

1. What is the LCM of 214, 969, 306, 952, 860?

Answer: LCM of 214, 969, 306, 952, 860 is 3745029960.

2. How to calculate the LCM of 214, 969, 306, 952, 860?

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, 969, 306, 952, 860.

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}.