Given numbers are 314,471,437,989

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

The LCM of 314,471,437,989 is 17701122.

Find LCM of 314,471,437,989 with Prime Factorization

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

23 x 157 x 2 x 3 x 19 x 43 = 17701122

Therefore, the lowest common multiple of 314,471,437,989 is 17701122.

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 471 x 437 x 989 = 63918751542

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

471 : 1, 3, 157, 471

437 : 1, 19, 23, 437

989 : 1, 23, 43, 989

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,471,437,989, is 1.

Now, the common factors can be found like this.

314:2x 157

471:3x 157

437:19x 23

989:23x 43

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

23x 157 = 3611

Therefore, the value for common factors is 3611.

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 = 63918751542/(1x3611)

LCM = 63918751542/3611

LCM = 17701122

Thus, we can understand that the LCM of 314,471,437,989 is 17701122.

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

• LCM of 921, 469, 152, 522
• LCM of 953, 962, 563, 365
• LCM of 906, 108, 265, 557
• LCM of 420, 161, 281, 511
• LCM of 953, 327, 998, 664

1. What is the LCM of 314, 471, 437, 989?

Answer: LCM of 314, 471, 437, 989 is 17701122.

2. How to calculate the LCM of 314, 471, 437, 989?

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, 471, 437, 989.

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}.