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LCM of 241, 492, 897, 698, 836

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


Find the LCM of 241, 492, 897, 698, 836 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 241, 492, 897, 698, 836. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 241,492,897,698,836

Given numbers are 241,492,897,698,836

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

The LCM of 241,492,897,698,836 is 2585979315348.

Find LCM of 241,492,897,698,836 with Prime Factorization


2 241, 492, 897, 698, 836
2 241, 246, 897, 349, 418
3 241, 123, 897, 349, 209
241, 41, 299, 349, 209

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

2 x 2 x 3 x 241 x 41 x 299 x 349 x 209 = 2585979315348

Therefore, the lowest common multiple of 241,492,897,698,836 is 2585979315348.

LCM Formula to Find Lowest Common Multiple of 241,492,897,698,836

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.

241 x 492 x 897 x 698 x 836 = 62063503568352

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.

241 : 1, 241

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

897 : 1, 3, 13, 23, 39, 69, 299, 897

698 : 1, 2, 349, 698

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,492,897,698,836, is 1.

Now, the common factors can be found like this.

241:241

492:2x 2x 3x 41

897:3x 13x 23

698:2x 349

836:2x 2x 11x 19

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 62063503568352/(1x24)

LCM = 62063503568352/24

LCM = 2585979315348

Thus, we can understand that the LCM of 241,492,897,698,836 is 2585979315348.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 241, 492, 897, 698, 836

1. What is the LCM of 241, 492, 897, 698, 836?

Answer: LCM of 241, 492, 897, 698, 836 is 2585979315348.

2. How to calculate the LCM of 241, 492, 897, 698, 836?

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 241, 492, 897, 698, 836.

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}.