Given numbers are 311,390,683,961,537

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

The LCM of 311,390,683,961,537 is 14250238020330.

Find LCM of 311,390,683,961,537 with Prime Factorization

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

3 x 311 x 130 x 683 x 961 x 179 = 14250238020330

Therefore, the lowest common multiple of 311,390,683,961,537 is 14250238020330.

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.

311 x 390 x 683 x 961 x 537 = 42750714060990

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.

311 : 1, 311

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

683 : 1, 683

961 : 1, 31, 961

537 : 1, 3, 179, 537

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,390,683,961,537, is 1.

Now, the common factors can be found like this.

311:311

390:2x 3x 5x 13

683:683

961:31x 31

537:3x 179

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

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 = 42750714060990/(1x3)

LCM = 42750714060990/3

LCM = 14250238020330

Thus, we can understand that the LCM of 311,390,683,961,537 is 14250238020330.

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

• LCM of 582, 796, 214, 938, 384
• LCM of 413, 766, 662, 205, 828
• LCM of 847, 737, 372, 271, 231
• LCM of 354, 312, 679, 988, 776
• LCM of 248, 107, 673, 597, 788

1. What is the LCM of 311, 390, 683, 961, 537?

Answer: LCM of 311, 390, 683, 961, 537 is 14250238020330.

2. How to calculate the LCM of 311, 390, 683, 961, 537?

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 311, 390, 683, 961, 537.

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}.