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LCM of 226, 142, 129, 568

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


Find the LCM of 226, 142, 129, 568 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 226, 142, 129, 568. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 226,142,129,568

Given numbers are 226,142,129,568

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

The LCM of 226,142,129,568 is 8279736.

Find LCM of 226,142,129,568 with Prime Factorization


2 226, 142, 129, 568
71 113, 71, 129, 284
113, 1, 129, 4

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

2 x 71 x 113 x 1 x 129 x 4 = 8279736

Therefore, the lowest common multiple of 226,142,129,568 is 8279736.

LCM Formula to Find Lowest Common Multiple of 226,142,129,568

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.

226 x 142 x 129 x 568 = 2351445024

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.

226 : 1, 2, 113, 226

142 : 1, 2, 71, 142

129 : 1, 3, 43, 129

568 : 1, 2, 4, 8, 71, 142, 284, 568

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,142,129,568, is 1.

Now, the common factors can be found like this.

226:2x 113

142:2x 71

129:3x 43

568:2x 2x 2x 71

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

2x 2x 71 = 284

Therefore, the value for common factors is 284.

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 = 2351445024/(1x284)

LCM = 2351445024/284

LCM = 8279736

Thus, we can understand that the LCM of 226,142,129,568 is 8279736.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 226, 142, 129, 568

1. What is the LCM of 226, 142, 129, 568?

Answer: LCM of 226, 142, 129, 568 is 8279736.

2. How to calculate the LCM of 226, 142, 129, 568?

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 226, 142, 129, 568.

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}.