Given numbers are 114,323,209,143

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

The LCM of 114,323,209,143 is 277134.

Find LCM of 114,323,209,143 with Prime Factorization

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

11 x 19 x 6 x 17 x 1 x 13 = 277134

Therefore, the lowest common multiple of 114,323,209,143 is 277134.

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.

114 x 323 x 209 x 143 = 1100499114

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.

114 : 1, 2, 3, 6, 19, 38, 57, 114

323 : 1, 17, 19, 323

209 : 1, 11, 19, 209

143 : 1, 11, 13, 143

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,323,209,143, is 1.

Now, the common factors can be found like this.

114:2x 3x 19

323:17x 19

209:11x 19

143:11x 13

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

11x 19x 19 = 3971

Therefore, the value for common factors is 3971.

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 = 1100499114/(1x3971)

LCM = 1100499114/3971

LCM = 277134

Thus, we can understand that the LCM of 114,323,209,143 is 277134.

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

• LCM of 714, 446, 536, 327
• LCM of 239, 230, 653, 697
• LCM of 106, 285, 614, 978
• LCM of 898, 729, 928, 287
• LCM of 856, 807, 627, 903

1. What is the LCM of 114, 323, 209, 143?

Answer: LCM of 114, 323, 209, 143 is 277134.

2. How to calculate the LCM of 114, 323, 209, 143?

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 114, 323, 209, 143.

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}.