Given numbers are 289,252,810,138,493

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

The LCM of 289,252,810,138,493 is 2185932420.

Find LCM of 289,252,810,138,493 with Prime Factorization

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

2 x 3 x 3 x 17 x 17 x 14 x 45 x 23 x 29 = 2185932420

Therefore, the lowest common multiple of 289,252,810,138,493 is 2185932420.

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.

289 x 252 x 810 x 138 x 493 = 4013371923120

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.

289 : 1, 17, 289

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

138 : 1, 2, 3, 6, 23, 46, 69, 138

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,252,810,138,493, is 1.

Now, the common factors can be found like this.

289:17x 17

252:2x 2x 3x 3x 7

810:2x 3x 3x 3x 3x 5

138:2x 3x 23

493:17x 29

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 3x 3x 17 = 1836

Therefore, the value for common factors is 1836.

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 = 4013371923120/(1x1836)

LCM = 4013371923120/1836

LCM = 2185932420

Thus, we can understand that the LCM of 289,252,810,138,493 is 2185932420.

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

• LCM of 508, 157, 267, 120, 126
• LCM of 880, 913, 992, 398, 927
• LCM of 930, 903, 426, 314, 797
• LCM of 687, 484, 534, 711, 419
• LCM of 965, 422, 965, 568, 641

1. What is the LCM of 289, 252, 810, 138, 493?

Answer: LCM of 289, 252, 810, 138, 493 is 2185932420.

2. How to calculate the LCM of 289, 252, 810, 138, 493?

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 289, 252, 810, 138, 493.

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}.