Given numbers are 783,101,919,888,420

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

The LCM of 783,101,919,888,420 is 752936589720.

Find LCM of 783,101,919,888,420 with Prime Factorization

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

2 x 2 x 3 x 261 x 101 x 919 x 74 x 35 = 752936589720

Therefore, the lowest common multiple of 783,101,919,888,420 is 752936589720.

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.

783 x 101 x 919 x 888 x 420 = 27105717229920

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.

783 : 1, 3, 9, 27, 29, 87, 261, 783

101 : 1, 101

919 : 1, 919

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 783,101,919,888,420, is 1.

Now, the common factors can be found like this.

783:3x 3x 3x 29

101:101

919:919

888:2x 2x 2x 3x 37

420:2x 2x 3x 5x 7

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 27105717229920/(1x36)

LCM = 27105717229920/36

LCM = 752936589720

Thus, we can understand that the LCM of 783,101,919,888,420 is 752936589720.

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

• LCM of 610, 279, 949, 870, 151
• LCM of 154, 124, 741, 556, 783
• LCM of 588, 830, 357, 629, 509
• LCM of 184, 110, 919, 796, 148
• LCM of 282, 360, 839, 943, 531

1. What is the LCM of 783, 101, 919, 888, 420?

Answer: LCM of 783, 101, 919, 888, 420 is 752936589720.

2. How to calculate the LCM of 783, 101, 919, 888, 420?

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 783, 101, 919, 888, 420.

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}.