Given numbers are 164,760,506,627,614

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

The LCM of 164,760,506,627,614 is 7260685080.

Find LCM of 164,760,506,627,614 with Prime Factorization

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

2 x 2 x 11 x 19 x 41 x 10 x 23 x 3 x 307 = 7260685080

Therefore, the lowest common multiple of 164,760,506,627,614 is 7260685080.

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.

164 x 760 x 506 x 627 x 614 = 24279730907520

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.

164 : 1, 2, 4, 41, 82, 164

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

506 : 1, 2, 11, 22, 23, 46, 253, 506

627 : 1, 3, 11, 19, 33, 57, 209, 627

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 164,760,506,627,614, is 1.

Now, the common factors can be found like this.

164:2x 2x 41

760:2x 2x 2x 5x 19

506:2x 11x 23

627:3x 11x 19

614:2x 307

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 11x 19 = 3344

Therefore, the value for common factors is 3344.

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 = 24279730907520/(1x3344)

LCM = 24279730907520/3344

LCM = 7260685080

Thus, we can understand that the LCM of 164,760,506,627,614 is 7260685080.

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

• LCM of 179, 912, 502, 582, 746
• LCM of 174, 376, 588, 851, 351
• LCM of 620, 820, 515, 446, 499
• LCM of 241, 610, 727, 109, 295
• LCM of 523, 225, 140, 116, 561

1. What is the LCM of 164, 760, 506, 627, 614?

Answer: LCM of 164, 760, 506, 627, 614 is 7260685080.

2. How to calculate the LCM of 164, 760, 506, 627, 614?

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 164, 760, 506, 627, 614.

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}.