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LCM of 426, 722, 706, 128

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 426, 722, 706, 128 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 426, 722, 706, 128. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 426,722,706,128

Given numbers are 426,722,706,128

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

The LCM of 426,722,706,128 is 3474333312.

Find LCM of 426,722,706,128 with Prime Factorization


2 426, 722, 706, 128
213, 361, 353, 64

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

2 x 213 x 361 x 353 x 64 = 3474333312

Therefore, the lowest common multiple of 426,722,706,128 is 3474333312.

LCM Formula to Find Lowest Common Multiple of 426,722,706,128

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.

426 x 722 x 706 x 128 = 27794666496

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

722 : 1, 2, 19, 38, 361, 722

706 : 1, 2, 353, 706

128 : 1, 2, 4, 8, 16, 32, 64, 128

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,722,706,128, is 2.

Now, the common factors can be found like this.

426:2x 3x 71

722:2x 19x 19

706:2x 353

128:2x 2x 2x 2x 2x 2x 2

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 = 27794666496/(2x4)

LCM = 27794666496/8

LCM = 3474333312

Thus, we can understand that the LCM of 426,722,706,128 is 3474333312.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 426, 722, 706, 128

1. What is the LCM of 426, 722, 706, 128?

Answer: LCM of 426, 722, 706, 128 is 3474333312.

2. How to calculate the LCM of 426, 722, 706, 128?

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 426, 722, 706, 128.

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}.