Given numbers are 684,977,845,993,514

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

The LCM of 684,977,845,993,514 is 48036183092820.

Find LCM of 684,977,845,993,514 with Prime Factorization

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

2 x 3 x 114 x 977 x 845 x 331 x 257 = 48036183092820

Therefore, the lowest common multiple of 684,977,845,993,514 is 48036183092820.

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.

684 x 977 x 845 x 993 x 514 = 288217098556920

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.

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

977 : 1, 977

845 : 1, 5, 13, 65, 169, 845

993 : 1, 3, 331, 993

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,977,845,993,514, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

977:977

845:5x 13x 13

993:3x 331

514:2x 257

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 288217098556920/(1x6)

LCM = 288217098556920/6

LCM = 48036183092820

Thus, we can understand that the LCM of 684,977,845,993,514 is 48036183092820.

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

• LCM of 322, 500, 198, 213, 800
• LCM of 180, 144, 350, 879, 255
• LCM of 182, 523, 174, 446, 809
• LCM of 123, 807, 616, 791, 681
• LCM of 921, 421, 729, 308, 340

1. What is the LCM of 684, 977, 845, 993, 514?

Answer: LCM of 684, 977, 845, 993, 514 is 48036183092820.

2. How to calculate the LCM of 684, 977, 845, 993, 514?

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 684, 977, 845, 993, 514.

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}.