Given numbers are 984,126,750,380,610

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

The LCM of 984,126,750,380,610 is 2993697000.

Find LCM of 984,126,750,380,610 with Prime Factorization

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

2 x 2 x 3 x 5 x 82 x 21 x 25 x 19 x 61 = 2993697000

Therefore, the lowest common multiple of 984,126,750,380,610 is 2993697000.

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.

984 x 126 x 750 x 380 x 610 = 21554618400000

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.

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,126,750,380,610, is 2.

Now, the common factors can be found like this.

984:2x 2x 2x 3x 41

126:2x 3x 3x 7

750:2x 3x 5x 5x 5

380:2x 2x 5x 19

610:2x 5x 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 2x 3x 3x 5x 5 = 3600

Therefore, the value for common factors is 3600.

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 = 21554618400000/(2x3600)

LCM = 21554618400000/7200

LCM = 2993697000

Thus, we can understand that the LCM of 984,126,750,380,610 is 2993697000.

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

• LCM of 800, 796, 104, 914, 175
• LCM of 200, 837, 158, 594, 961
• LCM of 924, 168, 279, 783, 961
• LCM of 542, 410, 383, 533, 923
• LCM of 836, 883, 868, 493, 661

1. What is the LCM of 984, 126, 750, 380, 610?

Answer: LCM of 984, 126, 750, 380, 610 is 2993697000.

2. How to calculate the LCM of 984, 126, 750, 380, 610?

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 984, 126, 750, 380, 610.

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}.