Given numbers are 498,409,556,289

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

The LCM of 498,409,556,289 is 16364219244.

Find LCM of 498,409,556,289 with Prime Factorization

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

2 x 249 x 409 x 278 x 289 = 16364219244

Therefore, the lowest common multiple of 498,409,556,289 is 16364219244.

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.

498 x 409 x 556 x 289 = 32728438488

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.

498 : 1, 2, 3, 6, 83, 166, 249, 498

409 : 1, 409

556 : 1, 2, 4, 139, 278, 556

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,409,556,289, is 1.

Now, the common factors can be found like this.

498:2x 3x 83

409:409

556:2x 2x 139

289:17x 17

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 = 32728438488/(1x2)

LCM = 32728438488/2

LCM = 16364219244

Thus, we can understand that the LCM of 498,409,556,289 is 16364219244.

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

• LCM of 347, 492, 661, 959
• LCM of 198, 823, 537, 516
• LCM of 884, 228, 692, 494
• LCM of 512, 804, 820, 151
• LCM of 109, 422, 833, 917

1. What is the LCM of 498, 409, 556, 289?

Answer: LCM of 498, 409, 556, 289 is 16364219244.

2. How to calculate the LCM of 498, 409, 556, 289?

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 498, 409, 556, 289.

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}.