Given numbers are 728,767,598,880

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

The LCM of 728,767,598,880 is 108668560.

Find LCM of 728,767,598,880 with Prime Factorization

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

2 x 2 x 2 x 13 x 7 x 59 x 23 x 110 = 108668560

Therefore, the lowest common multiple of 728,767,598,880 is 108668560.

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 767 x 598 x 880 = 293839786240

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

767 : 1, 13, 59, 767

598 : 1, 2, 13, 23, 26, 46, 299, 598

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,767,598,880, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

767:13x 59

598:2x 13x 23

880:2x 2x 2x 2x 5x 11

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 13x 13 = 2704

Therefore, the value for common factors is 2704.

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 = 293839786240/(1x2704)

LCM = 293839786240/2704

LCM = 108668560

Thus, we can understand that the LCM of 728,767,598,880 is 108668560.

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

• LCM of 630, 410, 326, 780
• LCM of 923, 943, 319, 159
• LCM of 892, 486, 267, 984
• LCM of 915, 226, 851, 756
• LCM of 898, 981, 953, 559

1. What is the LCM of 728, 767, 598, 880?

Answer: LCM of 728, 767, 598, 880 is 108668560.

2. How to calculate the LCM of 728, 767, 598, 880?

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, 767, 598, 880.

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}.