Given numbers are 738,586,428

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

The LCM of 738,586,428 is 46274076.

Find LCM of 738,586,428 with Prime Factorization

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

2 x 369 x 293 x 214 = 46274076

Therefore, the lowest common multiple of 738,586,428 is 46274076.

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.

738 x 586 x 428 = 185096304

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.

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

586 : 1, 2, 293, 586

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,586,428, is 2.

Now, the common factors can be found like this.

738:2x 3x 3x 41

586:2x 293

428:2x 2x 107

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 = 185096304/(2x2)

LCM = 185096304/4

LCM = 46274076

Thus, we can understand that the LCM of 738,586,428 is 46274076.

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

• LCM of 881, 294, 573
• LCM of 668, 522, 362
• LCM of 341, 474, 959
• LCM of 818, 187, 431
• LCM of 821, 752, 375

1. What is the LCM of 738, 586, 428?

Answer: LCM of 738, 586, 428 is 46274076.

2. How to calculate the LCM of 738, 586, 428?

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 738, 586, 428.

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}.