Given numbers are 306,250,960,211,771

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

The LCM of 306,250,960,211,771 is 66373848000.

Find LCM of 306,250,960,211,771 with Prime Factorization

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

2 x 3 x 5 x 51 x 25 x 32 x 211 x 257 = 66373848000

Therefore, the lowest common multiple of 306,250,960,211,771 is 66373848000.

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 250 x 960 x 211 x 771 = 11947292640000

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

250 : 1, 2, 5, 10, 25, 50, 125, 250

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

211 : 1, 211

771 : 1, 3, 257, 771

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,250,960,211,771, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

250:2x 5x 5x 5

960:2x 2x 2x 2x 2x 2x 3x 5

211:211

771:3x 257

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 5 = 180

Therefore, the value for common factors is 180.

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 = 11947292640000/(1x180)

LCM = 11947292640000/180

LCM = 66373848000

Thus, we can understand that the LCM of 306,250,960,211,771 is 66373848000.

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

• LCM of 251, 205, 559, 467, 581
• LCM of 894, 252, 802, 451, 103
• LCM of 601, 874, 838, 605, 303
• LCM of 262, 631, 341, 304, 650
• LCM of 203, 730, 396, 691, 890

1. What is the LCM of 306, 250, 960, 211, 771?

Answer: LCM of 306, 250, 960, 211, 771 is 66373848000.

2. How to calculate the LCM of 306, 250, 960, 211, 771?

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, 250, 960, 211, 771.

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}.