Given numbers are 276,272,548,988

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

The LCM of 276,272,548,988 is 635090352.

Find LCM of 276,272,548,988 with Prime Factorization

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

2 x 2 x 69 x 68 x 137 x 247 = 635090352

Therefore, the lowest common multiple of 276,272,548,988 is 635090352.

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.

276 x 272 x 548 x 988 = 40645782528

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.

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

548 : 1, 2, 4, 137, 274, 548

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,272,548,988, is 4.

Now, the common factors can be found like this.

276:2x 2x 3x 23

272:2x 2x 2x 2x 17

548:2x 2x 137

988:2x 2x 13x 19

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 2 = 16

Therefore, the value for common factors is 16.

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 = 40645782528/(4x16)

LCM = 40645782528/64

LCM = 635090352

Thus, we can understand that the LCM of 276,272,548,988 is 635090352.

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

• LCM of 151, 177, 817, 287
• LCM of 551, 552, 163, 449
• LCM of 148, 526, 897, 351
• LCM of 899, 222, 137, 163
• LCM of 245, 670, 228, 290

1. What is the LCM of 276, 272, 548, 988?

Answer: LCM of 276, 272, 548, 988 is 635090352.

2. How to calculate the LCM of 276, 272, 548, 988?

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 276, 272, 548, 988.

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}.