Given numbers are 728,668,920,970,525

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

The LCM of 728,668,920,970,525 is 20342704200.

Find LCM of 728,668,920,970,525 with Prime Factorization

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

2 x 2 x 2 x 5 x 7 x 13 x 167 x 23 x 97 x 15 = 20342704200

Therefore, the lowest common multiple of 728,668,920,970,525 is 20342704200.

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 668 x 920 x 970 x 525 = 227838287040000

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

668 : 1, 2, 4, 167, 334, 668

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

970 : 1, 2, 5, 10, 97, 194, 485, 970

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,668,920,970,525, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

668:2x 2x 167

920:2x 2x 2x 5x 23

970:2x 5x 97

525:3x 5x 5x 7

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 5x 5x 7 = 11200

Therefore, the value for common factors is 11200.

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 = 227838287040000/(1x11200)

LCM = 227838287040000/11200

LCM = 20342704200

Thus, we can understand that the LCM of 728,668,920,970,525 is 20342704200.

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

• LCM of 822, 521, 615, 970, 522
• LCM of 621, 133, 377, 806, 888
• LCM of 444, 491, 654, 513, 262
• LCM of 809, 941, 685, 129, 898
• LCM of 123, 410, 330, 346, 613

1. What is the LCM of 728, 668, 920, 970, 525?

Answer: LCM of 728, 668, 920, 970, 525 is 20342704200.

2. How to calculate the LCM of 728, 668, 920, 970, 525?

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, 668, 920, 970, 525.

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}.