Given numbers are 985,644,112,318,728

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

The LCM of 985,644,112,318,728 is 5244723120.

Find LCM of 985,644,112,318,728 with Prime Factorization

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

2 x 2 x 2 x 7 x 985 x 23 x 2 x 159 x 13 = 5244723120

Therefore, the lowest common multiple of 985,644,112,318,728 is 5244723120.

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 644 x 112 x 318 x 728 = 16447451704320

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

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

318 : 1, 2, 3, 6, 53, 106, 159, 318

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 985,644,112,318,728, is 1.

Now, the common factors can be found like this.

985:5x 197

644:2x 2x 7x 23

112:2x 2x 2x 2x 7

318:2x 3x 53

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 2x 7x 7 = 3136

Therefore, the value for common factors is 3136.

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 = 16447451704320/(1x3136)

LCM = 16447451704320/3136

LCM = 5244723120

Thus, we can understand that the LCM of 985,644,112,318,728 is 5244723120.

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

• LCM of 887, 484, 289, 193, 251
• LCM of 213, 518, 608, 918, 123
• LCM of 459, 570, 834, 415, 301
• LCM of 467, 370, 245, 978, 164
• LCM of 778, 302, 891, 904, 738

1. What is the LCM of 985, 644, 112, 318, 728?

Answer: LCM of 985, 644, 112, 318, 728 is 5244723120.

2. How to calculate the LCM of 985, 644, 112, 318, 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, 644, 112, 318, 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}.