Given numbers are 728,237,416,112,737

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

The LCM of 728,237,416,112,737 is 508636128.

Find LCM of 728,237,416,112,737 with Prime Factorization

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

2 x 2 x 2 x 2 x 7 x 13 x 1 x 237 x 2 x 1 x 737 = 508636128

Therefore, the lowest common multiple of 728,237,416,112,737 is 508636128.

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.

728 x 237 x 416 x 112 x 737 = 5924593618944

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.

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

237 : 1, 3, 79, 237

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

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

737 : 1, 11, 67, 737

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,237,416,112,737, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

237:3x 79

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

112:2x 2x 2x 2x 7

737:11x 67

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 7x 13 = 11648

Therefore, the value for common factors is 11648.

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 = 5924593618944/(1x11648)

LCM = 5924593618944/11648

LCM = 508636128

Thus, we can understand that the LCM of 728,237,416,112,737 is 508636128.

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

• LCM of 819, 552, 408, 856, 927
• LCM of 911, 142, 971, 310, 466
• LCM of 902, 308, 778, 444, 980
• LCM of 827, 601, 810, 304, 548
• LCM of 820, 452, 376, 773, 270

1. What is the LCM of 728, 237, 416, 112, 737?

Answer: LCM of 728, 237, 416, 112, 737 is 508636128.

2. How to calculate the LCM of 728, 237, 416, 112, 737?

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 728, 237, 416, 112, 737.

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}.