Given numbers are 610,368,548,748,772

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

The LCM of 610,368,548,748,772 is 554966976080.

Find LCM of 610,368,548,748,772 with Prime Factorization

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

2 x 2 x 305 x 92 x 137 x 187 x 193 = 554966976080

Therefore, the lowest common multiple of 610,368,548,748,772 is 554966976080.

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.

610 x 368 x 548 x 748 x 772 = 71035772938240

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.

610 : 1, 2, 5, 10, 61, 122, 305, 610

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

548 : 1, 2, 4, 137, 274, 548

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

772 : 1, 2, 4, 193, 386, 772

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 610,368,548,748,772, is 2.

Now, the common factors can be found like this.

610:2x 5x 61

368:2x 2x 2x 2x 23

548:2x 2x 137

748:2x 2x 11x 17

772:2x 2x 193

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 2 = 64

Therefore, the value for common factors is 64.

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 = 71035772938240/(2x64)

LCM = 71035772938240/128

LCM = 554966976080

Thus, we can understand that the LCM of 610,368,548,748,772 is 554966976080.

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

• LCM of 691, 625, 984, 230, 368
• LCM of 412, 700, 764, 426, 142
• LCM of 624, 410, 248, 639, 364
• LCM of 662, 298, 814, 416, 839
• LCM of 569, 244, 582, 720, 274

1. What is the LCM of 610, 368, 548, 748, 772?

Answer: LCM of 610, 368, 548, 748, 772 is 554966976080.

2. How to calculate the LCM of 610, 368, 548, 748, 772?

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 610, 368, 548, 748, 772.

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}.