Given numbers are 981,504,588,939,728

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

The LCM of 981,504,588,939,728 is 1564742088.

Find LCM of 981,504,588,939,728 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 7 x 109 x 1 x 7 x 313 x 13 = 1564742088

Therefore, the lowest common multiple of 981,504,588,939,728 is 1564742088.

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.

981 x 504 x 588 x 939 x 728 = 198734763112704

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.

981 : 1, 3, 9, 109, 327, 981

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

939 : 1, 3, 313, 939

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 981,504,588,939,728, is 1.

Now, the common factors can be found like this.

981:3x 3x 109

504:2x 2x 2x 3x 3x 7

588:2x 2x 3x 7x 7

939:3x 313

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 3x 3x 3x 3x 7x 7 = 127008

Therefore, the value for common factors is 127008.

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 = 198734763112704/(1x127008)

LCM = 198734763112704/127008

LCM = 1564742088

Thus, we can understand that the LCM of 981,504,588,939,728 is 1564742088.

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

• LCM of 633, 589, 661, 943, 655
• LCM of 558, 155, 270, 495, 754
• LCM of 592, 963, 216, 262, 124
• LCM of 915, 910, 724, 157, 863
• LCM of 997, 951, 767, 529, 935

1. What is the LCM of 981, 504, 588, 939, 728?

Answer: LCM of 981, 504, 588, 939, 728 is 1564742088.

2. How to calculate the LCM of 981, 504, 588, 939, 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 981, 504, 588, 939, 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}.