Given numbers are 408,746,610,787,122

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

The LCM of 408,746,610,787,122 is 36529486440.

Find LCM of 408,746,610,787,122 with Prime Factorization

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

2 x 61 x 204 x 373 x 5 x 787 x 1 = 36529486440

Therefore, the lowest common multiple of 408,746,610,787,122 is 36529486440.

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.

408 x 746 x 610 x 787 x 122 = 17826389382720

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

746 : 1, 2, 373, 746

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

787 : 1, 787

122 : 1, 2, 61, 122

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,746,610,787,122, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

746:2x 373

610:2x 5x 61

787:787

122:2x 61

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 61 = 488

Therefore, the value for common factors is 488.

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 = 17826389382720/(1x488)

LCM = 17826389382720/488

LCM = 36529486440

Thus, we can understand that the LCM of 408,746,610,787,122 is 36529486440.

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

• LCM of 900, 326, 261, 210, 109
• LCM of 213, 760, 104, 805, 191
• LCM of 809, 440, 613, 689, 409
• LCM of 926, 998, 156, 685, 451
• LCM of 698, 634, 895, 521, 488

1. What is the LCM of 408, 746, 610, 787, 122?

Answer: LCM of 408, 746, 610, 787, 122 is 36529486440.

2. How to calculate the LCM of 408, 746, 610, 787, 122?

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 408, 746, 610, 787, 122.

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}.