Given numbers are 871,456,759,417

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

The LCM of 871,456,759,417 is 13967488392.

Find LCM of 871,456,759,417 with Prime Factorization

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

3 x 871 x 152 x 253 x 139 = 13967488392

Therefore, the lowest common multiple of 871,456,759,417 is 13967488392.

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.

871 x 456 x 759 x 417 = 125707395528

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.

871 : 1, 13, 67, 871

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

759 : 1, 3, 11, 23, 33, 69, 253, 759

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,456,759,417, is 1.

Now, the common factors can be found like this.

871:13x 67

456:2x 2x 2x 3x 19

759:3x 11x 23

417:3x 139

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 125707395528/(1x9)

LCM = 125707395528/9

LCM = 13967488392

Thus, we can understand that the LCM of 871,456,759,417 is 13967488392.

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

• LCM of 656, 596, 248, 668
• LCM of 495, 442, 823, 371
• LCM of 712, 867, 964, 237
• LCM of 697, 870, 887, 834
• LCM of 573, 458, 160, 975

1. What is the LCM of 871, 456, 759, 417?

Answer: LCM of 871, 456, 759, 417 is 13967488392.

2. How to calculate the LCM of 871, 456, 759, 417?

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 871, 456, 759, 417.

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}.