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LCM of 297, 839, 545, 218

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


Find the LCM of 297, 839, 545, 218 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 297, 839, 545, 218. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 297,839,545,218

Given numbers are 297,839,545,218

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

The LCM of 297,839,545,218 is 271609470.

Find LCM of 297,839,545,218 with Prime Factorization


109 297, 839, 545, 218
297, 839, 5, 2

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

109 x 297 x 839 x 5 x 2 = 271609470

Therefore, the lowest common multiple of 297,839,545,218 is 271609470.

LCM Formula to Find Lowest Common Multiple of 297,839,545,218

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.

297 x 839 x 545 x 218 = 29605432230

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.

297 : 1, 3, 9, 11, 27, 33, 99, 297

839 : 1, 839

545 : 1, 5, 109, 545

218 : 1, 2, 109, 218

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 297,839,545,218, is 1.

Now, the common factors can be found like this.

297:3x 3x 3x 11

839:839

545:5x 109

218:2x 109

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

109 = 109

Therefore, the value for common factors is 109.

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 = 29605432230/(1x109)

LCM = 29605432230/109

LCM = 271609470

Thus, we can understand that the LCM of 297,839,545,218 is 271609470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 297, 839, 545, 218

1. What is the LCM of 297, 839, 545, 218?

Answer: LCM of 297, 839, 545, 218 is 271609470.

2. How to calculate the LCM of 297, 839, 545, 218?

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 297, 839, 545, 218.

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}.