Given numbers are 985,420,959,434,728

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

The LCM of 985,420,959,434,728 is 9136316280.

Find LCM of 985,420,959,434,728 with Prime Factorization

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

2 x 2 x 5 x 7 x 197 x 3 x 137 x 31 x 26 = 9136316280

Therefore, the lowest common multiple of 985,420,959,434,728 is 9136316280.

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.

985 x 420 x 959 x 434 x 728 = 125350259361600

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.

985 : 1, 5, 197, 985

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

959 : 1, 7, 137, 959

434 : 1, 2, 7, 14, 31, 62, 217, 434

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 985,420,959,434,728, is 1.

Now, the common factors can be found like this.

985:5x 197

420:2x 2x 3x 5x 7

959:7x 137

434:2x 7x 31

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 5x 7x 7x 7 = 13720

Therefore, the value for common factors is 13720.

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 = 125350259361600/(1x13720)

LCM = 125350259361600/13720

LCM = 9136316280

Thus, we can understand that the LCM of 985,420,959,434,728 is 9136316280.

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

• LCM of 176, 938, 254, 762, 841
• LCM of 816, 365, 423, 157, 924
• LCM of 713, 134, 827, 185, 853
• LCM of 574, 474, 533, 771, 913
• LCM of 640, 494, 152, 928, 703

1. What is the LCM of 985, 420, 959, 434, 728?

Answer: LCM of 985, 420, 959, 434, 728 is 9136316280.

2. How to calculate the LCM of 985, 420, 959, 434, 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 985, 420, 959, 434, 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}.