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LCM of 502, 227, 346, 918

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


Find the LCM of 502, 227, 346, 918 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 502, 227, 346, 918. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 502,227,346,918

Given numbers are 502,227,346,918

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

The LCM of 502,227,346,918 is 9048745278.

Find LCM of 502,227,346,918 with Prime Factorization


2 502, 227, 346, 918
251, 227, 173, 459

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

2 x 251 x 227 x 173 x 459 = 9048745278

Therefore, the lowest common multiple of 502,227,346,918 is 9048745278.

LCM Formula to Find Lowest Common Multiple of 502,227,346,918

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.

502 x 227 x 346 x 918 = 36194981112

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.

502 : 1, 2, 251, 502

227 : 1, 227

346 : 1, 2, 173, 346

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 502,227,346,918, is 1.

Now, the common factors can be found like this.

502:2x 251

227:227

346:2x 173

918:2x 3x 3x 3x 17

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 = 36194981112/(1x4)

LCM = 36194981112/4

LCM = 9048745278

Thus, we can understand that the LCM of 502,227,346,918 is 9048745278.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 502, 227, 346, 918

1. What is the LCM of 502, 227, 346, 918?

Answer: LCM of 502, 227, 346, 918 is 9048745278.

2. How to calculate the LCM of 502, 227, 346, 918?

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 502, 227, 346, 918.

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}.