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LCM of 157, 925, 226, 226, 563

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


Find the LCM of 157, 925, 226, 226, 563 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 157, 925, 226, 226, 563. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 157,925,226,226,563

Given numbers are 157,925,226,226,563

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

The LCM of 157,925,226,226,563 is 18478138550.

Find LCM of 157,925,226,226,563 with Prime Factorization


2 157, 925, 226, 226, 563
113 157, 925, 113, 113, 563
157, 925, 1, 1, 563

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

2 x 113 x 157 x 925 x 1 x 1 x 563 = 18478138550

Therefore, the lowest common multiple of 157,925,226,226,563 is 18478138550.

LCM Formula to Find Lowest Common Multiple of 157,925,226,226,563

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.

157 x 925 x 226 x 226 x 563 = 4176059312300

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.

157 : 1, 157

925 : 1, 5, 25, 37, 185, 925

226 : 1, 2, 113, 226

226 : 1, 2, 113, 226

563 : 1, 563

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,925,226,226,563, is 1.

Now, the common factors can be found like this.

157:157

925:5x 5x 37

226:2x 113

226:2x 113

563:563

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

2x 113 = 226

Therefore, the value for common factors is 226.

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 = 4176059312300/(1x226)

LCM = 4176059312300/226

LCM = 18478138550

Thus, we can understand that the LCM of 157,925,226,226,563 is 18478138550.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 157, 925, 226, 226, 563

1. What is the LCM of 157, 925, 226, 226, 563?

Answer: LCM of 157, 925, 226, 226, 563 is 18478138550.

2. How to calculate the LCM of 157, 925, 226, 226, 563?

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 157, 925, 226, 226, 563.

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}.