Given numbers are 936,728,164,505,740

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

The LCM of 936,728,164,505,740 is 5019388920.

Find LCM of 936,728,164,505,740 with Prime Factorization

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

2 x 2 x 2 x 5 x 13 x 9 x 7 x 41 x 101 x 37 = 5019388920

Therefore, the lowest common multiple of 936,728,164,505,740 is 5019388920.

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.

936 x 728 x 164 x 505 x 740 = 41761315814400

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.

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

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

164 : 1, 2, 4, 41, 82, 164

505 : 1, 5, 101, 505

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,728,164,505,740, is 1.

Now, the common factors can be found like this.

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

728:2x 2x 2x 7x 13

164:2x 2x 41

505:5x 101

740:2x 2x 5x 37

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 5x 13 = 8320

Therefore, the value for common factors is 8320.

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 = 41761315814400/(1x8320)

LCM = 41761315814400/8320

LCM = 5019388920

Thus, we can understand that the LCM of 936,728,164,505,740 is 5019388920.

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

• LCM of 784, 992, 139, 494, 664
• LCM of 130, 398, 122, 219, 514
• LCM of 620, 325, 899, 638, 382
• LCM of 469, 571, 748, 504, 350
• LCM of 389, 790, 181, 404, 675

1. What is the LCM of 936, 728, 164, 505, 740?

Answer: LCM of 936, 728, 164, 505, 740 is 5019388920.

2. How to calculate the LCM of 936, 728, 164, 505, 740?

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 936, 728, 164, 505, 740.

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}.