Given numbers are 728,949,295

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

The LCM of 728,949,295 is 15677480.

Find LCM of 728,949,295 with Prime Factorization

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

13 x 56 x 73 x 295 = 15677480

Therefore, the lowest common multiple of 728,949,295 is 15677480.

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 949 x 295 = 203807240

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

949 : 1, 13, 73, 949

295 : 1, 5, 59, 295

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,949,295, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

949:13x 73

295:5x 59

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

13 = 13

Therefore, the value for common factors is 13.

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 = 203807240/(1x13)

LCM = 203807240/13

LCM = 15677480

Thus, we can understand that the LCM of 728,949,295 is 15677480.

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

• LCM of 372, 276, 989
• LCM of 116, 319, 833
• LCM of 643, 626, 404
• LCM of 873, 848, 200
• LCM of 599, 158, 162

1. What is the LCM of 728, 949, 295?

Answer: LCM of 728, 949, 295 is 15677480.

2. How to calculate the LCM of 728, 949, 295?

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, 949, 295.

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}.