Given numbers are 984,110,584,122,730

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

The LCM of 984,110,584,122,730 is 240996360.

Find LCM of 984,110,584,122,730 with Prime Factorization

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

2 x 2 x 2 x 5 x 73 x 123 x 11 x 1 x 61 x 1 = 240996360

Therefore, the lowest common multiple of 984,110,584,122,730 is 240996360.

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 110 x 584 x 122 x 730 = 5629674969600

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

110 : 1, 2, 5, 10, 11, 22, 55, 110

584 : 1, 2, 4, 8, 73, 146, 292, 584

122 : 1, 2, 61, 122

730 : 1, 2, 5, 10, 73, 146, 365, 730

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,110,584,122,730, is 2.

Now, the common factors can be found like this.

984:2x 2x 2x 3x 41

110:2x 5x 11

584:2x 2x 2x 73

122:2x 61

730:2x 5x 73

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 5x 73 = 11680

Therefore, the value for common factors is 11680.

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 = 5629674969600/(2x11680)

LCM = 5629674969600/23360

LCM = 240996360

Thus, we can understand that the LCM of 984,110,584,122,730 is 240996360.

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

• LCM of 528, 870, 567, 401, 643
• LCM of 934, 776, 741, 718, 109
• LCM of 795, 619, 920, 688, 535
• LCM of 746, 596, 416, 818, 178
• LCM of 847, 581, 234, 797, 517

1. What is the LCM of 984, 110, 584, 122, 730?

Answer: LCM of 984, 110, 584, 122, 730 is 240996360.

2. How to calculate the LCM of 984, 110, 584, 122, 730?

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, 110, 584, 122, 730.

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}.