Given numbers are 714,544,916,936

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

The LCM of 714,544,916,936 is 102027744.

Find LCM of 714,544,916,936 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 7 x 4 x 229 x 39 = 102027744

Therefore, the lowest common multiple of 714,544,916,936 is 102027744.

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.

714 x 544 x 916 x 936 = 333018556416

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.

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

916 : 1, 2, 4, 229, 458, 916

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,544,916,936, is 2.

Now, the common factors can be found like this.

714:2x 3x 7x 17

544:2x 2x 2x 2x 2x 17

916:2x 2x 229

936:2x 2x 2x 3x 3x 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 17 = 1632

Therefore, the value for common factors is 1632.

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 = 333018556416/(2x1632)

LCM = 333018556416/3264

LCM = 102027744

Thus, we can understand that the LCM of 714,544,916,936 is 102027744.

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

• LCM of 650, 243, 109, 857
• LCM of 811, 659, 291, 314
• LCM of 560, 613, 610, 903
• LCM of 419, 262, 823, 731
• LCM of 200, 477, 617, 361

1. What is the LCM of 714, 544, 916, 936?

Answer: LCM of 714, 544, 916, 936 is 102027744.

2. How to calculate the LCM of 714, 544, 916, 936?

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 714, 544, 916, 936.

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}.