Given numbers are 814,471,958,346,387

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

The LCM of 814,471,958,346,387 is 4098421667142.

Find LCM of 814,471,958,346,387 with Prime Factorization

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

2 x 3 x 407 x 157 x 479 x 173 x 129 = 4098421667142

Therefore, the lowest common multiple of 814,471,958,346,387 is 4098421667142.

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.

814 x 471 x 958 x 346 x 387 = 49181060005704

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

471 : 1, 3, 157, 471

958 : 1, 2, 479, 958

346 : 1, 2, 173, 346

387 : 1, 3, 9, 43, 129, 387

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,471,958,346,387, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

471:3x 157

958:2x 479

346:2x 173

387:3x 3x 43

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 3 = 12

Therefore, the value for common factors is 12.

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 = 49181060005704/(1x12)

LCM = 49181060005704/12

LCM = 4098421667142

Thus, we can understand that the LCM of 814,471,958,346,387 is 4098421667142.

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

• LCM of 866, 463, 868, 676, 461
• LCM of 595, 686, 679, 224, 300
• LCM of 167, 710, 939, 964, 521
• LCM of 945, 379, 212, 918, 383
• LCM of 272, 632, 106, 653, 938

1. What is the LCM of 814, 471, 958, 346, 387?

Answer: LCM of 814, 471, 958, 346, 387 is 4098421667142.

2. How to calculate the LCM of 814, 471, 958, 346, 387?

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 814, 471, 958, 346, 387.

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}.