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LCM of 989, 488, 936, 293, 449

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


Find the LCM of 989, 488, 936, 293, 449 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 989, 488, 936, 293, 449. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 989,488,936,293,449

Given numbers are 989,488,936,293,449

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

The LCM of 989,488,936,293,449 is 7428753308808.

Find LCM of 989,488,936,293,449 with Prime Factorization


2 989, 488, 936, 293, 449
2 989, 244, 468, 293, 449
2 989, 122, 234, 293, 449
989, 61, 117, 293, 449

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

2 x 2 x 2 x 989 x 61 x 117 x 293 x 449 = 7428753308808

Therefore, the lowest common multiple of 989,488,936,293,449 is 7428753308808.

LCM Formula to Find Lowest Common Multiple of 989,488,936,293,449

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.

989 x 488 x 936 x 293 x 449 = 59430026470464

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.

989 : 1, 23, 43, 989

488 : 1, 2, 4, 8, 61, 122, 244, 488

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

293 : 1, 293

449 : 1, 449

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,488,936,293,449, is 1.

Now, the common factors can be found like this.

989:23x 43

488:2x 2x 2x 61

936:2x 2x 2x 3x 3x 13

293:293

449:449

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 2 = 8

Therefore, the value for common factors is 8.

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 = 59430026470464/(1x8)

LCM = 59430026470464/8

LCM = 7428753308808

Thus, we can understand that the LCM of 989,488,936,293,449 is 7428753308808.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 989, 488, 936, 293, 449

1. What is the LCM of 989, 488, 936, 293, 449?

Answer: LCM of 989, 488, 936, 293, 449 is 7428753308808.

2. How to calculate the LCM of 989, 488, 936, 293, 449?

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 989, 488, 936, 293, 449.

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}.