Given numbers are 120,840,610,221,785

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

The LCM of 120,840,610,221,785 is 1777874280.

Find LCM of 120,840,610,221,785 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 1 x 7 x 61 x 221 x 157 = 1777874280

Therefore, the lowest common multiple of 120,840,610,221,785 is 1777874280.

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.

120 x 840 x 610 x 221 x 785 = 10667245680000

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.

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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

221 : 1, 13, 17, 221

785 : 1, 5, 157, 785

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 120,840,610,221,785, is 1.

Now, the common factors can be found like this.

120:2x 2x 2x 3x 5

840:2x 2x 2x 3x 5x 7

610:2x 5x 61

221:13x 17

785:5x 157

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 5x 5x 5 = 6000

Therefore, the value for common factors is 6000.

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 = 10667245680000/(1x6000)

LCM = 10667245680000/6000

LCM = 1777874280

Thus, we can understand that the LCM of 120,840,610,221,785 is 1777874280.

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

• LCM of 678, 618, 964, 124, 698
• LCM of 880, 404, 451, 376, 954
• LCM of 221, 434, 263, 668, 207
• LCM of 412, 696, 945, 809, 841
• LCM of 799, 272, 191, 697, 615

1. What is the LCM of 120, 840, 610, 221, 785?

Answer: LCM of 120, 840, 610, 221, 785 is 1777874280.

2. How to calculate the LCM of 120, 840, 610, 221, 785?

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 120, 840, 610, 221, 785.

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}.