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LCM of 944, 590, 121, 551, 414

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


Find the LCM of 944, 590, 121, 551, 414 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 944, 590, 121, 551, 414. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 944,590,121,551,414

Given numbers are 944,590,121,551,414

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

The LCM of 944,590,121,551,414 is 65140233840.

Find LCM of 944,590,121,551,414 with Prime Factorization


2 944, 590, 121, 551, 414
59 472, 295, 121, 551, 207
8, 5, 121, 551, 207

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

2 x 59 x 8 x 5 x 121 x 551 x 207 = 65140233840

Therefore, the lowest common multiple of 944,590,121,551,414 is 65140233840.

LCM Formula to Find Lowest Common Multiple of 944,590,121,551,414

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.

944 x 590 x 121 x 551 x 414 = 15373095186240

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.

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

590 : 1, 2, 5, 10, 59, 118, 295, 590

121 : 1, 11, 121

551 : 1, 19, 29, 551

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 944,590,121,551,414, is 1.

Now, the common factors can be found like this.

944:2x 2x 2x 2x 59

590:2x 5x 59

121:11x 11

551:19x 29

414:2x 3x 3x 23

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 59 = 236

Therefore, the value for common factors is 236.

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 = 15373095186240/(1x236)

LCM = 15373095186240/236

LCM = 65140233840

Thus, we can understand that the LCM of 944,590,121,551,414 is 65140233840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 944, 590, 121, 551, 414

1. What is the LCM of 944, 590, 121, 551, 414?

Answer: LCM of 944, 590, 121, 551, 414 is 65140233840.

2. How to calculate the LCM of 944, 590, 121, 551, 414?

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 944, 590, 121, 551, 414.

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}.