Given numbers are 900,854,454,917,514

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

The LCM of 900,854,454,917,514 is 2936977778700.

Find LCM of 900,854,454,917,514 with Prime Factorization

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

2 x 7 x 450 x 61 x 227 x 131 x 257 = 2936977778700

Therefore, the lowest common multiple of 900,854,454,917,514 is 2936977778700.

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.

900 x 854 x 454 x 917 x 514 = 164470755607200

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.

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

854 : 1, 2, 7, 14, 61, 122, 427, 854

454 : 1, 2, 227, 454

917 : 1, 7, 131, 917

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,854,454,917,514, is 1.

Now, the common factors can be found like this.

900:2x 2x 3x 3x 5x 5

854:2x 7x 61

454:2x 227

917:7x 131

514:2x 257

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 7 = 56

Therefore, the value for common factors is 56.

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 = 164470755607200/(1x56)

LCM = 164470755607200/56

LCM = 2936977778700

Thus, we can understand that the LCM of 900,854,454,917,514 is 2936977778700.

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

• LCM of 331, 191, 760, 633, 678
• LCM of 859, 434, 838, 476, 480
• LCM of 375, 450, 582, 357, 243
• LCM of 944, 840, 240, 631, 737
• LCM of 356, 498, 494, 967, 909

1. What is the LCM of 900, 854, 454, 917, 514?

Answer: LCM of 900, 854, 454, 917, 514 is 2936977778700.

2. How to calculate the LCM of 900, 854, 454, 917, 514?

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 900, 854, 454, 917, 514.

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}.