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LCM of 426, 213, 256, 111

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


Find the LCM of 426, 213, 256, 111 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, 213, 256, 111. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 426,213,256,111

Given numbers are 426,213,256,111

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

The LCM of 426,213,256,111 is 2017536.

Find LCM of 426,213,256,111 with Prime Factorization


2 426, 213, 256, 111
3 213, 213, 128, 111
71 71, 71, 128, 37
1, 1, 128, 37

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

2 x 3 x 71 x 1 x 1 x 128 x 37 = 2017536

Therefore, the lowest common multiple of 426,213,256,111 is 2017536.

LCM Formula to Find Lowest Common Multiple of 426,213,256,111

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 213 x 256 x 111 = 2578411008

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

213 : 1, 3, 71, 213

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

111 : 1, 3, 37, 111

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,213,256,111, is 1.

Now, the common factors can be found like this.

426:2x 3x 71

213:3x 71

256:2x 2x 2x 2x 2x 2x 2x 2

111:3x 37

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

2x 3x 3x 71 = 1278

Therefore, the value for common factors is 1278.

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 = 2578411008/(1x1278)

LCM = 2578411008/1278

LCM = 2017536

Thus, we can understand that the LCM of 426,213,256,111 is 2017536.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 426, 213, 256, 111

1. What is the LCM of 426, 213, 256, 111?

Answer: LCM of 426, 213, 256, 111 is 2017536.

2. How to calculate the LCM of 426, 213, 256, 111?

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, 213, 256, 111.

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}.