Given numbers are 306,831,128,867,350

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

The LCM of 306,831,128,867,350 is 16138684800.

Find LCM of 306,831,128,867,350 with Prime Factorization

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

2 x 3 x 17 x 3 x 277 x 64 x 17 x 175 = 16138684800

Therefore, the lowest common multiple of 306,831,128,867,350 is 16138684800.

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.

306 x 831 x 128 x 867 x 350 = 9876875097600

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.

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

831 : 1, 3, 277, 831

128 : 1, 2, 4, 8, 16, 32, 64, 128

867 : 1, 3, 17, 51, 289, 867

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,831,128,867,350, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

831:3x 277

128:2x 2x 2x 2x 2x 2x 2

867:3x 17x 17

350:2x 5x 5x 7

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 3x 3x 17 = 612

Therefore, the value for common factors is 612.

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 = 9876875097600/(1x612)

LCM = 9876875097600/612

LCM = 16138684800

Thus, we can understand that the LCM of 306,831,128,867,350 is 16138684800.

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

• LCM of 207, 603, 246, 130, 260
• LCM of 393, 756, 175, 946, 189
• LCM of 633, 730, 860, 319, 148
• LCM of 611, 351, 864, 383, 827
• LCM of 715, 625, 145, 333, 659

1. What is the LCM of 306, 831, 128, 867, 350?

Answer: LCM of 306, 831, 128, 867, 350 is 16138684800.

2. How to calculate the LCM of 306, 831, 128, 867, 350?

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 306, 831, 128, 867, 350.

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}.