Given numbers are 268,624,728,206,416

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

The LCM of 268,624,728,206,416 is 60287136.

Find LCM of 268,624,728,206,416 with Prime Factorization

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

2 x 2 x 2 x 2 x 13 x 67 x 3 x 7 x 103 x 2 = 60287136

Therefore, the lowest common multiple of 268,624,728,206,416 is 60287136.

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.

268 x 624 x 728 x 206 x 416 = 10433050607616

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.

268 : 1, 2, 4, 67, 134, 268

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

206 : 1, 2, 103, 206

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,624,728,206,416, is 2.

Now, the common factors can be found like this.

268:2x 2x 67

624:2x 2x 2x 2x 3x 13

728:2x 2x 2x 7x 13

206:2x 103

416:2x 2x 2x 2x 2x 13

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 2x 2x 2x 2x 2x 13x 13 = 86528

Therefore, the value for common factors is 86528.

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 = 10433050607616/(2x86528)

LCM = 10433050607616/173056

LCM = 60287136

Thus, we can understand that the LCM of 268,624,728,206,416 is 60287136.

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

• LCM of 947, 323, 361, 206, 589
• LCM of 922, 192, 327, 350, 204
• LCM of 181, 303, 885, 932, 752
• LCM of 540, 186, 428, 153, 911
• LCM of 774, 108, 501, 418, 362

1. What is the LCM of 268, 624, 728, 206, 416?

Answer: LCM of 268, 624, 728, 206, 416 is 60287136.

2. How to calculate the LCM of 268, 624, 728, 206, 416?

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 268, 624, 728, 206, 416.

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}.