Given numbers are 741,299,871,312

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

The LCM of 741,299,871,312 is 9135048.

Find LCM of 741,299,871,312 with Prime Factorization

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

3 x 13 x 19 x 23 x 67 x 8 = 9135048

Therefore, the lowest common multiple of 741,299,871,312 is 9135048.

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.

741 x 299 x 871 x 312 = 60209101368

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.

741 : 1, 3, 13, 19, 39, 57, 247, 741

299 : 1, 13, 23, 299

871 : 1, 13, 67, 871

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,299,871,312, is 13.

Now, the common factors can be found like this.

741:3x 13x 19

299:13x 23

871:13x 67

312:2x 2x 2x 3x 13

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

3x 13x 13 = 507

Therefore, the value for common factors is 507.

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 = 60209101368/(13x507)

LCM = 60209101368/6591

LCM = 9135048

Thus, we can understand that the LCM of 741,299,871,312 is 9135048.

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

• LCM of 485, 779, 566, 391
• LCM of 181, 108, 469, 605
• LCM of 331, 579, 696, 566
• LCM of 593, 290, 743, 109
• LCM of 914, 345, 904, 859

1. What is the LCM of 741, 299, 871, 312?

Answer: LCM of 741, 299, 871, 312 is 9135048.

2. How to calculate the LCM of 741, 299, 871, 312?

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 741, 299, 871, 312.

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}.