Given numbers are 380,209,323,137

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

The LCM of 380,209,323,137 is 9735220.

Find LCM of 380,209,323,137 with Prime Factorization

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

19 x 20 x 11 x 17 x 137 = 9735220

Therefore, the lowest common multiple of 380,209,323,137 is 9735220.

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.

380 x 209 x 323 x 137 = 3514414420

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.

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

209 : 1, 11, 19, 209

323 : 1, 17, 19, 323

137 : 1, 137

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,209,323,137, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

209:11x 19

323:17x 19

137:137

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

19x 19 = 361

Therefore, the value for common factors is 361.

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 = 3514414420/(1x361)

LCM = 3514414420/361

LCM = 9735220

Thus, we can understand that the LCM of 380,209,323,137 is 9735220.

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

• LCM of 585, 312, 637, 967
• LCM of 444, 708, 331, 297
• LCM of 321, 553, 280, 456
• LCM of 802, 461, 359, 283
• LCM of 163, 297, 308, 547

1. What is the LCM of 380, 209, 323, 137?

Answer: LCM of 380, 209, 323, 137 is 9735220.

2. How to calculate the LCM of 380, 209, 323, 137?

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 380, 209, 323, 137.

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}.