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LCM of 989, 336, 981, 864, 497

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


Find the LCM of 989, 336, 981, 864, 497 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, 336, 981, 864, 497. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 989,336,981,864,497

Given numbers are 989,336,981,864,497

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

The LCM of 989,336,981,864,497 is 46290611808.

Find LCM of 989,336,981,864,497 with Prime Factorization


2 989, 336, 981, 864, 497
2 989, 168, 981, 432, 497
2 989, 84, 981, 216, 497
2 989, 42, 981, 108, 497
3 989, 21, 981, 54, 497
3 989, 7, 327, 18, 497
7 989, 7, 109, 6, 497
989, 1, 109, 6, 71

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

2 x 2 x 2 x 2 x 3 x 3 x 7 x 989 x 1 x 109 x 6 x 71 = 46290611808

Therefore, the lowest common multiple of 989,336,981,864,497 is 46290611808.

LCM Formula to Find Lowest Common Multiple of 989,336,981,864,497

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 336 x 981 x 864 x 497 = 139982810107392

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

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

981 : 1, 3, 9, 109, 327, 981

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,336,981,864,497, is 1.

Now, the common factors can be found like this.

989:23x 43

336:2x 2x 2x 2x 3x 7

981:3x 3x 109

864:2x 2x 2x 2x 2x 3x 3x 3

497:7x 71

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 2x 3x 3x 3x 7 = 3024

Therefore, the value for common factors is 3024.

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 = 139982810107392/(1x3024)

LCM = 139982810107392/3024

LCM = 46290611808

Thus, we can understand that the LCM of 989,336,981,864,497 is 46290611808.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 989, 336, 981, 864, 497

1. What is the LCM of 989, 336, 981, 864, 497?

Answer: LCM of 989, 336, 981, 864, 497 is 46290611808.

2. How to calculate the LCM of 989, 336, 981, 864, 497?

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, 336, 981, 864, 497.

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}.