Given numbers are 883,992,420,518,742

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

The LCM of 883,992,420,518,742 is 180359602080.

Find LCM of 883,992,420,518,742 with Prime Factorization

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

2 x 2 x 7 x 883 x 248 x 15 x 37 x 53 = 180359602080

Therefore, the lowest common multiple of 883,992,420,518,742 is 180359602080.

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.

883 x 992 x 420 x 518 x 742 = 141401928030720

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.

883 : 1, 883

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

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

518 : 1, 2, 7, 14, 37, 74, 259, 518

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 883,992,420,518,742, is 1.

Now, the common factors can be found like this.

883:883

992:2x 2x 2x 2x 2x 31

420:2x 2x 3x 5x 7

518:2x 7x 37

742:2x 7x 53

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 7x 7 = 784

Therefore, the value for common factors is 784.

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 = 141401928030720/(1x784)

LCM = 141401928030720/784

LCM = 180359602080

Thus, we can understand that the LCM of 883,992,420,518,742 is 180359602080.

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

• LCM of 752, 199, 297, 452, 447
• LCM of 360, 119, 619, 612, 805
• LCM of 150, 780, 184, 754, 393
• LCM of 358, 431, 554, 901, 224
• LCM of 383, 169, 751, 578, 852

1. What is the LCM of 883, 992, 420, 518, 742?

Answer: LCM of 883, 992, 420, 518, 742 is 180359602080.

2. How to calculate the LCM of 883, 992, 420, 518, 742?

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 883, 992, 420, 518, 742.

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}.