Given numbers are 728,293,936,349

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

The LCM of 728,293,936,349 is 669987864.

Find LCM of 728,293,936,349 with Prime Factorization

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

2 x 2 x 2 x 13 x 7 x 293 x 9 x 349 = 669987864

Therefore, the lowest common multiple of 728,293,936,349 is 669987864.

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 293 x 936 x 349 = 69678737856

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

293 : 1, 293

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,293,936,349, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

293:293

936:2x 2x 2x 3x 3x 13

349:349

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 13 = 104

Therefore, the value for common factors is 104.

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 = 69678737856/(1x104)

LCM = 69678737856/104

LCM = 669987864

Thus, we can understand that the LCM of 728,293,936,349 is 669987864.

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

• LCM of 120, 425, 493, 165
• LCM of 968, 189, 146, 982
• LCM of 193, 991, 946, 418
• LCM of 561, 655, 174, 600
• LCM of 898, 246, 428, 720

1. What is the LCM of 728, 293, 936, 349?

Answer: LCM of 728, 293, 936, 349 is 669987864.

2. How to calculate the LCM of 728, 293, 936, 349?

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, 293, 936, 349.

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}.