Given numbers are 314,908,792,728,892

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

The LCM of 314,908,792,728,892 is 572792003784.

Find LCM of 314,908,792,728,892 with Prime Factorization

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

2 x 2 x 2 x 157 x 227 x 99 x 91 x 223 = 572792003784

Therefore, the lowest common multiple of 314,908,792,728,892 is 572792003784.

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.

314 x 908 x 792 x 728 x 892 = 146634752968704

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.

314 : 1, 2, 157, 314

908 : 1, 2, 4, 227, 454, 908

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

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

892 : 1, 2, 4, 223, 446, 892

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,908,792,728,892, is 2.

Now, the common factors can be found like this.

314:2x 157

908:2x 2x 227

792:2x 2x 2x 3x 3x 11

728:2x 2x 2x 7x 13

892:2x 2x 223

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 2 = 128

Therefore, the value for common factors is 128.

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 = 146634752968704/(2x128)

LCM = 146634752968704/256

LCM = 572792003784

Thus, we can understand that the LCM of 314,908,792,728,892 is 572792003784.

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

• LCM of 206, 245, 649, 323, 308
• LCM of 490, 845, 285, 825, 174
• LCM of 917, 463, 692, 113, 144
• LCM of 150, 673, 631, 688, 285
• LCM of 431, 667, 293, 913, 439

1. What is the LCM of 314, 908, 792, 728, 892?

Answer: LCM of 314, 908, 792, 728, 892 is 572792003784.

2. How to calculate the LCM of 314, 908, 792, 728, 892?

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 314, 908, 792, 728, 892.

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}.