Given numbers are 312,561,540,742,950

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

The LCM of 312,561,540,742,950 is 92535042600.

Find LCM of 312,561,540,742,950 with Prime Factorization

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

2 x 2 x 3 x 5 x 26 x 187 x 9 x 371 x 95 = 92535042600

Therefore, the lowest common multiple of 312,561,540,742,950 is 92535042600.

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.

312 x 561 x 540 x 742 x 950 = 66625230672000

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

561 : 1, 3, 11, 17, 33, 51, 187, 561

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

742 : 1, 2, 7, 14, 53, 106, 371, 742

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,561,540,742,950, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

561:3x 11x 17

540:2x 2x 3x 3x 3x 5

742:2x 7x 53

950:2x 5x 5x 19

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 3x 5 = 720

Therefore, the value for common factors is 720.

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 = 66625230672000/(1x720)

LCM = 66625230672000/720

LCM = 92535042600

Thus, we can understand that the LCM of 312,561,540,742,950 is 92535042600.

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

• LCM of 273, 900, 647, 932, 494
• LCM of 210, 439, 600, 367, 698
• LCM of 801, 375, 737, 558, 500
• LCM of 237, 867, 763, 805, 642
• LCM of 388, 405, 333, 182, 607

1. What is the LCM of 312, 561, 540, 742, 950?

Answer: LCM of 312, 561, 540, 742, 950 is 92535042600.

2. How to calculate the LCM of 312, 561, 540, 742, 950?

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 312, 561, 540, 742, 950.

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}.