Given numbers are 728,532,988,968,844

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

The LCM of 728,532,988,968,844 is 353144792.

Find LCM of 728,532,988,968,844 with Prime Factorization

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

2 x 2 x 2 x 7 x 13 x 19 x 1 x 1 x 1 x 121 x 211 = 353144792

Therefore, the lowest common multiple of 728,532,988,968,844 is 353144792.

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 532 x 988 x 968 x 844 = 312620720828416

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

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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

844 : 1, 2, 4, 211, 422, 844

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,532,988,968,844, is 4.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

532:2x 2x 7x 19

988:2x 2x 13x 19

968:2x 2x 2x 11x 11

844:2x 2x 211

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 2x 7x 13x 19 = 221312

Therefore, the value for common factors is 221312.

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 = 312620720828416/(4x221312)

LCM = 312620720828416/885248

LCM = 353144792

Thus, we can understand that the LCM of 728,532,988,968,844 is 353144792.

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

• LCM of 963, 744, 940, 127, 405
• LCM of 881, 918, 849, 687, 868
• LCM of 332, 488, 680, 845, 166
• LCM of 169, 262, 803, 570, 783
• LCM of 453, 724, 677, 566, 987

1. What is the LCM of 728, 532, 988, 968, 844?

Answer: LCM of 728, 532, 988, 968, 844 is 353144792.

2. How to calculate the LCM of 728, 532, 988, 968, 844?

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, 532, 988, 968, 844.

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}.