Given numbers are 789,419,438

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

The LCM of 789,419,438 is 48266286.

Find LCM of 789,419,438 with Prime Factorization

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

3 x 263 x 419 x 146 = 48266286

Therefore, the lowest common multiple of 789,419,438 is 48266286.

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.

789 x 419 x 438 = 144798858

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.

789 : 1, 3, 263, 789

419 : 1, 419

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,419,438, is 1.

Now, the common factors can be found like this.

789:3x 263

419:419

438:2x 3x 73

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

3 = 3

Therefore, the value for common factors is 3.

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 = 144798858/(1x3)

LCM = 144798858/3

LCM = 48266286

Thus, we can understand that the LCM of 789,419,438 is 48266286.

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

• LCM of 877, 213, 490
• LCM of 839, 529, 246
• LCM of 788, 541, 355
• LCM of 235, 857, 567
• LCM of 655, 582, 797

1. What is the LCM of 789, 419, 438?

Answer: LCM of 789, 419, 438 is 48266286.

2. How to calculate the LCM of 789, 419, 438?

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 789, 419, 438.

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}.