Given numbers are 412,301,746

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

The LCM of 412,301,746 is 46256476.

Find LCM of 412,301,746 with Prime Factorization

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

2 x 206 x 301 x 373 = 46256476

Therefore, the lowest common multiple of 412,301,746 is 46256476.

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.

412 x 301 x 746 = 92512952

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.

412 : 1, 2, 4, 103, 206, 412

301 : 1, 7, 43, 301

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,301,746, is 1.

Now, the common factors can be found like this.

412:2x 2x 103

301:7x 43

746:2x 373

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 = 92512952/(1x2)

LCM = 92512952/2

LCM = 46256476

Thus, we can understand that the LCM of 412,301,746 is 46256476.

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

• LCM of 646, 868, 548
• LCM of 844, 343, 579
• LCM of 561, 172, 876
• LCM of 595, 819, 176
• LCM of 897, 880, 930

1. What is the LCM of 412, 301, 746?

Answer: LCM of 412, 301, 746 is 46256476.

2. How to calculate the LCM of 412, 301, 746?

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 412, 301, 746.

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}.