Given numbers are 380,364,375,670,689

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

The LCM of 380,364,375,670,689 is 9209518500.

Find LCM of 380,364,375,670,689 with Prime Factorization

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

2 x 2 x 5 x 13 x 19 x 7 x 75 x 67 x 53 = 9209518500

Therefore, the lowest common multiple of 380,364,375,670,689 is 9209518500.

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 364 x 375 x 670 x 689 = 23944748100000

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

375 : 1, 3, 5, 15, 25, 75, 125, 375

670 : 1, 2, 5, 10, 67, 134, 335, 670

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,364,375,670,689, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

364:2x 2x 7x 13

375:3x 5x 5x 5

670:2x 5x 67

689:13x 53

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 5x 5x 13 = 2600

Therefore, the value for common factors is 2600.

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 = 23944748100000/(1x2600)

LCM = 23944748100000/2600

LCM = 9209518500

Thus, we can understand that the LCM of 380,364,375,670,689 is 9209518500.

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

• LCM of 306, 225, 338, 294, 560
• LCM of 798, 441, 529, 336, 813
• LCM of 827, 586, 243, 991, 166
• LCM of 637, 948, 881, 410, 359
• LCM of 344, 779, 150, 934, 155

1. What is the LCM of 380, 364, 375, 670, 689?

Answer: LCM of 380, 364, 375, 670, 689 is 9209518500.

2. How to calculate the LCM of 380, 364, 375, 670, 689?

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, 364, 375, 670, 689.

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}.