Given numbers are 728,299,749,856,970

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

The LCM of 728,299,749,856,970 is 868929880.

Find LCM of 728,299,749,856,970 with Prime Factorization

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

2 x 2 x 2 x 7 x 13 x 107 x 1 x 23 x 1 x 1 x 485 = 868929880

Therefore, the lowest common multiple of 728,299,749,856,970 is 868929880.

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 299 x 749 x 856 x 970 = 135372323864960

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

299 : 1, 13, 23, 299

749 : 1, 7, 107, 749

856 : 1, 2, 4, 8, 107, 214, 428, 856

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,299,749,856,970, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

299:13x 23

749:7x 107

856:2x 2x 2x 107

970:2x 5x 97

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 7x 13x 107 = 155792

Therefore, the value for common factors is 155792.

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 = 135372323864960/(1x155792)

LCM = 135372323864960/155792

LCM = 868929880

Thus, we can understand that the LCM of 728,299,749,856,970 is 868929880.

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

• LCM of 141, 396, 521, 518, 965
• LCM of 879, 741, 851, 959, 288
• LCM of 348, 915, 425, 821, 158
• LCM of 660, 771, 291, 104, 650
• LCM of 866, 315, 920, 326, 704

1. What is the LCM of 728, 299, 749, 856, 970?

Answer: LCM of 728, 299, 749, 856, 970 is 868929880.

2. How to calculate the LCM of 728, 299, 749, 856, 970?

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, 299, 749, 856, 970.

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}.