Given numbers are 684,520,969,506

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

The LCM of 684,520,969,506 is 382444920.

Find LCM of 684,520,969,506 with Prime Factorization

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

2 x 2 x 3 x 19 x 3 x 130 x 17 x 253 = 382444920

Therefore, the lowest common multiple of 684,520,969,506 is 382444920.

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 520 x 969 x 506 = 174394883520

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

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

969 : 1, 3, 17, 19, 51, 57, 323, 969

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,520,969,506, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

520:2x 2x 2x 5x 13

969:3x 17x 19

506:2x 11x 23

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 2x 3x 19 = 456

Therefore, the value for common factors is 456.

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 = 174394883520/(1x456)

LCM = 174394883520/456

LCM = 382444920

Thus, we can understand that the LCM of 684,520,969,506 is 382444920.

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

• LCM of 931, 815, 758, 902
• LCM of 206, 414, 449, 181
• LCM of 956, 293, 766, 213
• LCM of 833, 856, 912, 153
• LCM of 973, 976, 925, 740

1. What is the LCM of 684, 520, 969, 506?

Answer: LCM of 684, 520, 969, 506 is 382444920.

2. How to calculate the LCM of 684, 520, 969, 506?

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, 520, 969, 506.

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}.