Given numbers are 744,107,466

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

The LCM of 744,107,466 is 18548664.

Find LCM of 744,107,466 with Prime Factorization

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

2 x 372 x 107 x 233 = 18548664

Therefore, the lowest common multiple of 744,107,466 is 18548664.

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.

744 x 107 x 466 = 37097328

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.

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

107 : 1, 107

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,107,466, is 1.

Now, the common factors can be found like this.

744:2x 2x 2x 3x 31

107:107

466:2x 233

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 = 37097328/(1x2)

LCM = 37097328/2

LCM = 18548664

Thus, we can understand that the LCM of 744,107,466 is 18548664.

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

• LCM of 550, 599, 692
• LCM of 319, 287, 600
• LCM of 669, 762, 995
• LCM of 195, 958, 126
• LCM of 672, 561, 664

1. What is the LCM of 744, 107, 466?

Answer: LCM of 744, 107, 466 is 18548664.

2. How to calculate the LCM of 744, 107, 466?

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 744, 107, 466.

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}.