Given numbers are 288,634,543,974,274

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

The LCM of 288,634,543,974,274 is 1102503186144.

Find LCM of 288,634,543,974,274 with Prime Factorization

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

2 x 3 x 48 x 317 x 181 x 487 x 137 = 1102503186144

Therefore, the lowest common multiple of 288,634,543,974,274 is 1102503186144.

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.

288 x 634 x 543 x 974 x 274 = 26460076467456

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.

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

634 : 1, 2, 317, 634

543 : 1, 3, 181, 543

974 : 1, 2, 487, 974

274 : 1, 2, 137, 274

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,634,543,974,274, is 1.

Now, the common factors can be found like this.

288:2x 2x 2x 2x 2x 3x 3

634:2x 317

543:3x 181

974:2x 487

274:2x 137

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 3 = 24

Therefore, the value for common factors is 24.

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 = 26460076467456/(1x24)

LCM = 26460076467456/24

LCM = 1102503186144

Thus, we can understand that the LCM of 288,634,543,974,274 is 1102503186144.

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

• LCM of 105, 443, 759, 414, 229
• LCM of 344, 103, 860, 615, 102
• LCM of 833, 743, 359, 265, 624
• LCM of 839, 394, 535, 100, 872
• LCM of 689, 736, 463, 747, 456

1. What is the LCM of 288, 634, 543, 974, 274?

Answer: LCM of 288, 634, 543, 974, 274 is 1102503186144.

2. How to calculate the LCM of 288, 634, 543, 974, 274?

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 288, 634, 543, 974, 274.

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}.