Given numbers are 971,528,193,712,728

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

The LCM of 971,528,193,712,728 is 801386201616.

Find LCM of 971,528,193,712,728 with Prime Factorization

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

2 x 2 x 2 x 971 x 66 x 193 x 89 x 91 = 801386201616

Therefore, the lowest common multiple of 971,528,193,712,728 is 801386201616.

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.

971 x 528 x 193 x 712 x 728 = 51288716903424

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.

971 : 1, 971

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

193 : 1, 193

712 : 1, 2, 4, 8, 89, 178, 356, 712

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,528,193,712,728, is 1.

Now, the common factors can be found like this.

971:971

528:2x 2x 2x 2x 3x 11

193:193

712:2x 2x 2x 89

728:2x 2x 2x 7x 13

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 2 = 64

Therefore, the value for common factors is 64.

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 = 51288716903424/(1x64)

LCM = 51288716903424/64

LCM = 801386201616

Thus, we can understand that the LCM of 971,528,193,712,728 is 801386201616.

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

• LCM of 901, 759, 189, 777, 158
• LCM of 101, 515, 124, 910, 463
• LCM of 216, 247, 141, 511, 884
• LCM of 987, 576, 207, 552, 305
• LCM of 811, 105, 242, 860, 222

1. What is the LCM of 971, 528, 193, 712, 728?

Answer: LCM of 971, 528, 193, 712, 728 is 801386201616.

2. How to calculate the LCM of 971, 528, 193, 712, 728?

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 971, 528, 193, 712, 728.

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}.