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LCM of 884, 989, 413, 138, 440

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


Find the LCM of 884, 989, 413, 138, 440 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 884, 989, 413, 138, 440. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 884,989,413,138,440

Given numbers are 884,989,413,138,440

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

The LCM of 884,989,413,138,440 is 119155076040.

Find LCM of 884,989,413,138,440 with Prime Factorization


2 884, 989, 413, 138, 440
2 442, 989, 413, 69, 220
23 221, 989, 413, 69, 110
221, 43, 413, 3, 110

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

2 x 2 x 23 x 221 x 43 x 413 x 3 x 110 = 119155076040

Therefore, the lowest common multiple of 884,989,413,138,440 is 119155076040.

LCM Formula to Find Lowest Common Multiple of 884,989,413,138,440

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.

884 x 989 x 413 x 138 x 440 = 21924533991360

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.

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

989 : 1, 23, 43, 989

413 : 1, 7, 59, 413

138 : 1, 2, 3, 6, 23, 46, 69, 138

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,989,413,138,440, is 1.

Now, the common factors can be found like this.

884:2x 2x 13x 17

989:23x 43

413:7x 59

138:2x 3x 23

440:2x 2x 2x 5x 11

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 23 = 184

Therefore, the value for common factors is 184.

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 = 21924533991360/(1x184)

LCM = 21924533991360/184

LCM = 119155076040

Thus, we can understand that the LCM of 884,989,413,138,440 is 119155076040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 884, 989, 413, 138, 440

1. What is the LCM of 884, 989, 413, 138, 440?

Answer: LCM of 884, 989, 413, 138, 440 is 119155076040.

2. How to calculate the LCM of 884, 989, 413, 138, 440?

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 884, 989, 413, 138, 440.

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}.