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LCM of 247, 361, 551, 919

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


Find the LCM of 247, 361, 551, 919 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 247, 361, 551, 919. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 247,361,551,919

Given numbers are 247,361,551,919

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

The LCM of 247,361,551,919 is 125073143.

Find LCM of 247,361,551,919 with Prime Factorization


19 247, 361, 551, 919
13, 19, 29, 919

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

19 x 13 x 19 x 29 x 919 = 125073143

Therefore, the lowest common multiple of 247,361,551,919 is 125073143.

LCM Formula to Find Lowest Common Multiple of 247,361,551,919

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.

247 x 361 x 551 x 919 = 45151404623

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.

247 : 1, 13, 19, 247

361 : 1, 19, 361

551 : 1, 19, 29, 551

919 : 1, 919

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,361,551,919, is 1.

Now, the common factors can be found like this.

247:13x 19

361:19x 19

551:19x 29

919:919

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

19x 19 = 361

Therefore, the value for common factors is 361.

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 = 45151404623/(1x361)

LCM = 45151404623/361

LCM = 125073143

Thus, we can understand that the LCM of 247,361,551,919 is 125073143.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 247, 361, 551, 919

1. What is the LCM of 247, 361, 551, 919?

Answer: LCM of 247, 361, 551, 919 is 125073143.

2. How to calculate the LCM of 247, 361, 551, 919?

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 247, 361, 551, 919.

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}.