Given numbers are 684,121,299,171

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

The LCM of 684,121,299,171 is 24746436.

Find LCM of 684,121,299,171 with Prime Factorization

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

3 x 3 x 19 x 4 x 121 x 299 x 1 = 24746436

Therefore, the lowest common multiple of 684,121,299,171 is 24746436.

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 121 x 299 x 171 = 4231640556

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

121 : 1, 11, 121

299 : 1, 13, 23, 299

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 684,121,299,171, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

121:11x 11

299:13x 23

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.

3x 3x 19 = 171

Therefore, the value for common factors is 171.

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 = 4231640556/(1x171)

LCM = 4231640556/171

LCM = 24746436

Thus, we can understand that the LCM of 684,121,299,171 is 24746436.

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

• LCM of 191, 694, 854, 537
• LCM of 114, 505, 834, 101
• LCM of 181, 250, 300, 780
• LCM of 555, 241, 633, 756
• LCM of 695, 639, 685, 622

1. What is the LCM of 684, 121, 299, 171?

Answer: LCM of 684, 121, 299, 171 is 24746436.

2. How to calculate the LCM of 684, 121, 299, 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 684, 121, 299, 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}.