Given numbers are 380,370,680,762,492

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

The LCM of 380,370,680,762,492 is 7467462840.

Find LCM of 380,370,680,762,492 with Prime Factorization

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

2 x 2 x 3 x 5 x 19 x 37 x 34 x 127 x 41 = 7467462840

Therefore, the lowest common multiple of 380,370,680,762,492 is 7467462840.

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 370 x 680 x 762 x 492 = 35843821632000

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

370 : 1, 2, 5, 10, 37, 74, 185, 370

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

762 : 1, 2, 3, 6, 127, 254, 381, 762

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,370,680,762,492, is 2.

Now, the common factors can be found like this.

380:2x 2x 5x 19

370:2x 5x 37

680:2x 2x 2x 5x 17

762:2x 3x 127

492:2x 2x 3x 41

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 2x 3x 5x 5 = 2400

Therefore, the value for common factors is 2400.

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 = 35843821632000/(2x2400)

LCM = 35843821632000/4800

LCM = 7467462840

Thus, we can understand that the LCM of 380,370,680,762,492 is 7467462840.

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

• LCM of 691, 133, 848, 988, 815
• LCM of 574, 871, 662, 910, 482
• LCM of 886, 629, 789, 220, 786
• LCM of 923, 955, 935, 194, 280
• LCM of 257, 245, 627, 464, 598

1. What is the LCM of 380, 370, 680, 762, 492?

Answer: LCM of 380, 370, 680, 762, 492 is 7467462840.

2. How to calculate the LCM of 380, 370, 680, 762, 492?

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, 370, 680, 762, 492.

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}.