Given numbers are 681,614,470,528,612

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

The LCM of 681,614,470,528,612 is 440997567120.

Find LCM of 681,614,470,528,612 with Prime Factorization

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

2 x 2 x 3 x 227 x 307 x 235 x 44 x 51 = 440997567120

Therefore, the lowest common multiple of 681,614,470,528,612 is 440997567120.

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.

681 x 614 x 470 x 528 x 612 = 63503649665280

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.

681 : 1, 3, 227, 681

614 : 1, 2, 307, 614

470 : 1, 2, 5, 10, 47, 94, 235, 470

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

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,614,470,528,612, is 1.

Now, the common factors can be found like this.

681:3x 227

614:2x 307

470:2x 5x 47

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

612:2x 2x 3x 3x 17

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 63503649665280/(1x144)

LCM = 63503649665280/144

LCM = 440997567120

Thus, we can understand that the LCM of 681,614,470,528,612 is 440997567120.

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

• LCM of 957, 846, 187, 901, 617
• LCM of 126, 166, 643, 866, 276
• LCM of 673, 111, 342, 251, 240
• LCM of 967, 960, 560, 874, 311
• LCM of 758, 436, 953, 601, 932

1. What is the LCM of 681, 614, 470, 528, 612?

Answer: LCM of 681, 614, 470, 528, 612 is 440997567120.

2. How to calculate the LCM of 681, 614, 470, 528, 612?

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 681, 614, 470, 528, 612.

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}.