Given numbers are 281,331,980,214,783

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

The LCM of 281,331,980,214,783 is 7636703499180.

Find LCM of 281,331,980,214,783 with Prime Factorization

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

2 x 281 x 331 x 490 x 107 x 783 = 7636703499180

Therefore, the lowest common multiple of 281,331,980,214,783 is 7636703499180.

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.

281 x 331 x 980 x 214 x 783 = 15273406998360

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.

281 : 1, 281

331 : 1, 331

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

214 : 1, 2, 107, 214

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,331,980,214,783, is 1.

Now, the common factors can be found like this.

281:281

331:331

980:2x 2x 5x 7x 7

214:2x 107

783:3x 3x 3x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 15273406998360/(1x2)

LCM = 15273406998360/2

LCM = 7636703499180

Thus, we can understand that the LCM of 281,331,980,214,783 is 7636703499180.

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

• LCM of 652, 597, 854, 382, 441
• LCM of 915, 198, 381, 528, 553
• LCM of 371, 698, 241, 740, 516
• LCM of 476, 864, 562, 896, 640
• LCM of 169, 464, 833, 164, 875

1. What is the LCM of 281, 331, 980, 214, 783?

Answer: LCM of 281, 331, 980, 214, 783 is 7636703499180.

2. How to calculate the LCM of 281, 331, 980, 214, 783?

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 281, 331, 980, 214, 783.

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}.