Given numbers are 283,252,254,340,582

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

The LCM of 283,252,254,340,582 is 74676053340.

Find LCM of 283,252,254,340,582 with Prime Factorization

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

2 x 2 x 3 x 283 x 21 x 127 x 85 x 97 = 74676053340

Therefore, the lowest common multiple of 283,252,254,340,582 is 74676053340.

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.

283 x 252 x 254 x 340 x 582 = 3584450560320

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.

283 : 1, 283

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

254 : 1, 2, 127, 254

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

582 : 1, 2, 3, 6, 97, 194, 291, 582

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,252,254,340,582, is 1.

Now, the common factors can be found like this.

283:283

252:2x 2x 3x 3x 7

254:2x 127

340:2x 2x 5x 17

582:2x 3x 97

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 3 = 48

Therefore, the value for common factors is 48.

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 = 3584450560320/(1x48)

LCM = 3584450560320/48

LCM = 74676053340

Thus, we can understand that the LCM of 283,252,254,340,582 is 74676053340.

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

• LCM of 728, 387, 650, 834, 852
• LCM of 222, 622, 411, 589, 729
• LCM of 808, 181, 755, 969, 694
• LCM of 253, 313, 369, 481, 847
• LCM of 898, 171, 668, 552, 227

1. What is the LCM of 283, 252, 254, 340, 582?

Answer: LCM of 283, 252, 254, 340, 582 is 74676053340.

2. How to calculate the LCM of 283, 252, 254, 340, 582?

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 283, 252, 254, 340, 582.

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}.