Given numbers are 728,991,968,121,748

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

The LCM of 728,991,968,121,748 is 1484018536.

Find LCM of 728,991,968,121,748 with Prime Factorization

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

2 x 2 x 2 x 11 x 11 x 91 x 991 x 1 x 1 x 17 = 1484018536

Therefore, the lowest common multiple of 728,991,968,121,748 is 1484018536.

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 991 x 968 x 121 x 748 = 63207317485312

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

991 : 1, 991

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

121 : 1, 11, 121

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,991,968,121,748, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

991:991

968:2x 2x 2x 11x 11

121:11x 11

748:2x 2x 11x 17

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 11x 11x 11 = 42592

Therefore, the value for common factors is 42592.

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 = 63207317485312/(1x42592)

LCM = 63207317485312/42592

LCM = 1484018536

Thus, we can understand that the LCM of 728,991,968,121,748 is 1484018536.

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

• LCM of 723, 104, 416, 377, 611
• LCM of 709, 155, 546, 663, 581
• LCM of 752, 728, 707, 807, 885
• LCM of 699, 706, 571, 245, 555
• LCM of 694, 114, 545, 381, 999

1. What is the LCM of 728, 991, 968, 121, 748?

Answer: LCM of 728, 991, 968, 121, 748 is 1484018536.

2. How to calculate the LCM of 728, 991, 968, 121, 748?

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, 991, 968, 121, 748.

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}.