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LCM of 494, 606, 143, 226

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


Find the LCM of 494, 606, 143, 226 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 494, 606, 143, 226. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 494,606,143,226

Given numbers are 494,606,143,226

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

The LCM of 494,606,143,226 is 186054726.

Find LCM of 494,606,143,226 with Prime Factorization


2 494, 606, 143, 226
13 247, 303, 143, 113
19, 303, 11, 113

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

2 x 13 x 19 x 303 x 11 x 113 = 186054726

Therefore, the lowest common multiple of 494,606,143,226 is 186054726.

LCM Formula to Find Lowest Common Multiple of 494,606,143,226

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.

494 x 606 x 143 x 226 = 9674845752

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

606 : 1, 2, 3, 6, 101, 202, 303, 606

143 : 1, 11, 13, 143

226 : 1, 2, 113, 226

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,606,143,226, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

606:2x 3x 101

143:11x 13

226:2x 113

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 13 = 52

Therefore, the value for common factors is 52.

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 = 9674845752/(1x52)

LCM = 9674845752/52

LCM = 186054726

Thus, we can understand that the LCM of 494,606,143,226 is 186054726.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 494, 606, 143, 226

1. What is the LCM of 494, 606, 143, 226?

Answer: LCM of 494, 606, 143, 226 is 186054726.

2. How to calculate the LCM of 494, 606, 143, 226?

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 494, 606, 143, 226.

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}.