Given numbers are 380,760,269,388,137

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

The LCM of 380,760,269,388,137 is 2716803160.

Find LCM of 380,760,269,388,137 with Prime Factorization

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

2 x 2 x 5 x 19 x 1 x 2 x 269 x 97 x 137 = 2716803160

Therefore, the lowest common multiple of 380,760,269,388,137 is 2716803160.

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 760 x 269 x 388 x 137 = 4129540803200

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

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

269 : 1, 269

388 : 1, 2, 4, 97, 194, 388

137 : 1, 137

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,760,269,388,137, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

760:2x 2x 2x 5x 19

269:269

388:2x 2x 97

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.

2x 2x 2x 2x 5x 19 = 1520

Therefore, the value for common factors is 1520.

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 = 4129540803200/(1x1520)

LCM = 4129540803200/1520

LCM = 2716803160

Thus, we can understand that the LCM of 380,760,269,388,137 is 2716803160.

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

• LCM of 236, 412, 718, 559, 696
• LCM of 487, 549, 808, 618, 940
• LCM of 631, 685, 786, 500, 763
• LCM of 822, 172, 819, 632, 366
• LCM of 266, 423, 886, 219, 303

1. What is the LCM of 380, 760, 269, 388, 137?

Answer: LCM of 380, 760, 269, 388, 137 is 2716803160.

2. How to calculate the LCM of 380, 760, 269, 388, 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, 760, 269, 388, 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}.