Given numbers are 130,537,311,341,988

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

The LCM of 130,537,311,341,988 is 281329971780.

Find LCM of 130,537,311,341,988 with Prime Factorization

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

2 x 13 x 5 x 537 x 311 x 341 x 38 = 281329971780

Therefore, the lowest common multiple of 130,537,311,341,988 is 281329971780.

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.

130 x 537 x 311 x 341 x 988 = 7314579266280

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.

130 : 1, 2, 5, 10, 13, 26, 65, 130

537 : 1, 3, 179, 537

311 : 1, 311

341 : 1, 11, 31, 341

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,537,311,341,988, is 1.

Now, the common factors can be found like this.

130:2x 5x 13

537:3x 179

311:311

341:11x 31

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 13 = 26

Therefore, the value for common factors is 26.

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 = 7314579266280/(1x26)

LCM = 7314579266280/26

LCM = 281329971780

Thus, we can understand that the LCM of 130,537,311,341,988 is 281329971780.

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

• LCM of 654, 262, 570, 925, 407
• LCM of 141, 911, 506, 976, 228
• LCM of 150, 754, 538, 106, 488
• LCM of 878, 866, 280, 447, 146
• LCM of 618, 945, 787, 446, 685

1. What is the LCM of 130, 537, 311, 341, 988?

Answer: LCM of 130, 537, 311, 341, 988 is 281329971780.

2. How to calculate the LCM of 130, 537, 311, 341, 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 130, 537, 311, 341, 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}.