Given numbers are 306,291,528,300,391

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

The LCM of 306,291,528,300,391 is 1501909200.

Find LCM of 306,291,528,300,391 with Prime Factorization

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

2 x 2 x 3 x 17 x 3 x 97 x 44 x 25 x 23 = 1501909200

Therefore, the lowest common multiple of 306,291,528,300,391 is 1501909200.

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 291 x 528 x 300 x 391 = 5515010582400

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

291 : 1, 3, 97, 291

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

391 : 1, 17, 23, 391

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,291,528,300,391, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

291:3x 97

528:2x 2x 2x 2x 3x 11

300:2x 2x 3x 5x 5

391:17x 23

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 3x 3x 3x 17 = 3672

Therefore, the value for common factors is 3672.

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 = 5515010582400/(1x3672)

LCM = 5515010582400/3672

LCM = 1501909200

Thus, we can understand that the LCM of 306,291,528,300,391 is 1501909200.

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

• LCM of 711, 268, 388, 978, 521
• LCM of 735, 519, 826, 454, 879
• LCM of 178, 625, 453, 446, 930
• LCM of 413, 886, 700, 970, 892
• LCM of 149, 311, 950, 102, 167

1. What is the LCM of 306, 291, 528, 300, 391?

Answer: LCM of 306, 291, 528, 300, 391 is 1501909200.

2. How to calculate the LCM of 306, 291, 528, 300, 391?

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, 291, 528, 300, 391.

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}.