Given numbers are 314,872,438,253,471

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

The LCM of 314,872,438,253,471 is 7585439928.

Find LCM of 314,872,438,253,471 with Prime Factorization

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

2 x 3 x 157 x 1 x 436 x 73 x 253 x 1 = 7585439928

Therefore, the lowest common multiple of 314,872,438,253,471 is 7585439928.

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.

314 x 872 x 438 x 253 x 471 = 14290968824352

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.

314 : 1, 2, 157, 314

872 : 1, 2, 4, 8, 109, 218, 436, 872

438 : 1, 2, 3, 6, 73, 146, 219, 438

253 : 1, 11, 23, 253

471 : 1, 3, 157, 471

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,872,438,253,471, is 1.

Now, the common factors can be found like this.

314:2x 157

872:2x 2x 2x 109

438:2x 3x 73

253:11x 23

471:3x 157

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 3x 157 = 1884

Therefore, the value for common factors is 1884.

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 = 14290968824352/(1x1884)

LCM = 14290968824352/1884

LCM = 7585439928

Thus, we can understand that the LCM of 314,872,438,253,471 is 7585439928.

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

• LCM of 337, 657, 323, 932, 297
• LCM of 270, 855, 446, 402, 749
• LCM of 321, 345, 428, 234, 318
• LCM of 238, 659, 701, 904, 645
• LCM of 840, 635, 988, 548, 847

1. What is the LCM of 314, 872, 438, 253, 471?

Answer: LCM of 314, 872, 438, 253, 471 is 7585439928.

2. How to calculate the LCM of 314, 872, 438, 253, 471?

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 314, 872, 438, 253, 471.

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}.