Given numbers are 420,134,360,355,380

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

The LCM of 420,134,360,355,380 is 227765160.

Find LCM of 420,134,360,355,380 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 67 x 6 x 71 x 19 = 227765160

Therefore, the lowest common multiple of 420,134,360,355,380 is 227765160.

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.

420 x 134 x 360 x 355 x 380 = 2733181920000

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

134 : 1, 2, 67, 134

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

355 : 1, 5, 71, 355

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,134,360,355,380, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

134:2x 67

360:2x 2x 2x 3x 3x 5

355:5x 71

380:2x 2x 5x 19

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 5x 5 = 12000

Therefore, the value for common factors is 12000.

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 = 2733181920000/(1x12000)

LCM = 2733181920000/12000

LCM = 227765160

Thus, we can understand that the LCM of 420,134,360,355,380 is 227765160.

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

• LCM of 107, 372, 279, 667, 758
• LCM of 166, 283, 825, 755, 849
• LCM of 369, 895, 732, 928, 916
• LCM of 158, 301, 870, 313, 331
• LCM of 734, 300, 401, 771, 415

1. What is the LCM of 420, 134, 360, 355, 380?

Answer: LCM of 420, 134, 360, 355, 380 is 227765160.

2. How to calculate the LCM of 420, 134, 360, 355, 380?

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 420, 134, 360, 355, 380.

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}.