Given numbers are 514,979,514,420,171

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

The LCM of 514,979,514,420,171 is 6023375820.

Find LCM of 514,979,514,420,171 with Prime Factorization

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

2 x 3 x 257 x 1 x 979 x 1 x 70 x 57 = 6023375820

Therefore, the lowest common multiple of 514,979,514,420,171 is 6023375820.

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.

514 x 979 x 514 x 420 x 171 = 18576091028880

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.

514 : 1, 2, 257, 514

979 : 1, 11, 89, 979

514 : 1, 2, 257, 514

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

171 : 1, 3, 9, 19, 57, 171

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,979,514,420,171, is 1.

Now, the common factors can be found like this.

514:2x 257

979:11x 89

514:2x 257

420:2x 2x 3x 5x 7

171:3x 3x 19

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 257 = 3084

Therefore, the value for common factors is 3084.

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 = 18576091028880/(1x3084)

LCM = 18576091028880/3084

LCM = 6023375820

Thus, we can understand that the LCM of 514,979,514,420,171 is 6023375820.

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

• LCM of 882, 666, 933, 489, 505
• LCM of 108, 215, 870, 779, 702
• LCM of 250, 767, 590, 768, 920
• LCM of 346, 371, 314, 321, 739
• LCM of 465, 743, 754, 246, 633

1. What is the LCM of 514, 979, 514, 420, 171?

Answer: LCM of 514, 979, 514, 420, 171 is 6023375820.

2. How to calculate the LCM of 514, 979, 514, 420, 171?

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 514, 979, 514, 420, 171.

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}.