Given numbers are 726,706,422,448

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

The LCM of 726,706,422,448 is 12112723392.

Find LCM of 726,706,422,448 with Prime Factorization

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

2 x 363 x 353 x 211 x 224 = 12112723392

Therefore, the lowest common multiple of 726,706,422,448 is 12112723392.

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.

726 x 706 x 422 x 448 = 96901787136

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.

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

706 : 1, 2, 353, 706

422 : 1, 2, 211, 422

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,706,422,448, is 2.

Now, the common factors can be found like this.

726:2x 3x 11x 11

706:2x 353

422:2x 211

448:2x 2x 2x 2x 2x 2x 7

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 96901787136/(2x4)

LCM = 96901787136/8

LCM = 12112723392

Thus, we can understand that the LCM of 726,706,422,448 is 12112723392.

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

• LCM of 905, 871, 124, 578
• LCM of 238, 206, 741, 265
• LCM of 168, 858, 880, 904
• LCM of 535, 901, 962, 404
• LCM of 789, 377, 285, 103

1. What is the LCM of 726, 706, 422, 448?

Answer: LCM of 726, 706, 422, 448 is 12112723392.

2. How to calculate the LCM of 726, 706, 422, 448?

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 726, 706, 422, 448.

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}.