Given numbers are 909,466,720,228

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

The LCM of 909,466,720,228 is 321931440.

Find LCM of 909,466,720,228 with Prime Factorization

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

2 x 2 x 3 x 3 x 101 x 233 x 20 x 19 = 321931440

Therefore, the lowest common multiple of 909,466,720,228 is 321931440.

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.

909 x 466 x 720 x 228 = 69537191040

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.

909 : 1, 3, 9, 101, 303, 909

466 : 1, 2, 233, 466

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,466,720,228, is 1.

Now, the common factors can be found like this.

909:3x 3x 101

466:2x 233

720:2x 2x 2x 2x 3x 3x 5

228:2x 2x 3x 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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 69537191040/(1x216)

LCM = 69537191040/216

LCM = 321931440

Thus, we can understand that the LCM of 909,466,720,228 is 321931440.

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

• LCM of 456, 861, 576, 237
• LCM of 729, 185, 107, 286
• LCM of 433, 844, 592, 685
• LCM of 993, 138, 326, 457
• LCM of 559, 713, 376, 222

1. What is the LCM of 909, 466, 720, 228?

Answer: LCM of 909, 466, 720, 228 is 321931440.

2. How to calculate the LCM of 909, 466, 720, 228?

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 909, 466, 720, 228.

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}.