Given numbers are 379,920,614

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

The LCM of 379,920,614 is 107044760.

Find LCM of 379,920,614 with Prime Factorization

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

2 x 379 x 460 x 307 = 107044760

Therefore, the lowest common multiple of 379,920,614 is 107044760.

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.

379 x 920 x 614 = 214089520

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.

379 : 1, 379

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,920,614, is 1.

Now, the common factors can be found like this.

379:379

920:2x 2x 2x 5x 23

614:2x 307

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 214089520/(1x2)

LCM = 214089520/2

LCM = 107044760

Thus, we can understand that the LCM of 379,920,614 is 107044760.

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

• LCM of 904, 853, 492
• LCM of 913, 806, 961
• LCM of 418, 245, 826
• LCM of 892, 126, 789
• LCM of 999, 562, 655

1. What is the LCM of 379, 920, 614?

Answer: LCM of 379, 920, 614 is 107044760.

2. How to calculate the LCM of 379, 920, 614?

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 379, 920, 614.

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}.