Given numbers are 378,466,674

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

The LCM of 378,466,674 is 29680938.

Find LCM of 378,466,674 with Prime Factorization

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

2 x 189 x 233 x 337 = 29680938

Therefore, the lowest common multiple of 378,466,674 is 29680938.

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.

378 x 466 x 674 = 118723752

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.

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

466 : 1, 2, 233, 466

674 : 1, 2, 337, 674

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,466,674, is 2.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

466:2x 233

674:2x 337

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 = 118723752/(2x2)

LCM = 118723752/4

LCM = 29680938

Thus, we can understand that the LCM of 378,466,674 is 29680938.

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

• LCM of 853, 367, 651
• LCM of 575, 236, 934
• LCM of 235, 632, 109
• LCM of 434, 820, 330
• LCM of 977, 558, 365

1. What is the LCM of 378, 466, 674?

Answer: LCM of 378, 466, 674 is 29680938.

2. How to calculate the LCM of 378, 466, 674?

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 378, 466, 674.

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}.