Given numbers are 428,488,380

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

The LCM of 428,488,380 is 4960520.

Find LCM of 428,488,380 with Prime Factorization

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

2 x 2 x 107 x 122 x 95 = 4960520

Therefore, the lowest common multiple of 428,488,380 is 4960520.

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.

428 x 488 x 380 = 79368320

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.

428 : 1, 2, 4, 107, 214, 428

488 : 1, 2, 4, 8, 61, 122, 244, 488

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,488,380, is 4.

Now, the common factors can be found like this.

428:2x 2x 107

488:2x 2x 2x 61

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 2 = 4

Therefore, the value for common factors is 4.

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 = 79368320/(4x4)

LCM = 79368320/16

LCM = 4960520

Thus, we can understand that the LCM of 428,488,380 is 4960520.

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

• LCM of 661, 941, 371
• LCM of 970, 500, 118
• LCM of 862, 408, 554
• LCM of 962, 986, 779
• LCM of 756, 170, 717

1. What is the LCM of 428, 488, 380?

Answer: LCM of 428, 488, 380 is 4960520.

2. How to calculate the LCM of 428, 488, 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 428, 488, 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}.