LCM of 976, 489, 375, 979, 429
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 976, 489, 375, 979, 429 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 976, 489, 375, 979, 429. So, keep reading to learn more.
Given numbers are 976,489,375,979,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 976,489,375,979,429 is 759267366000.
Find LCM of 976,489,375,979,429 with Prime Factorization
| 3 | 976, 489, 375, 979, 429 |
| 11 | 976, 163, 125, 979, 143 |
| 976, 163, 125, 89, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 976 x 163 x 125 x 89 x 13 = 759267366000
Therefore, the lowest common multiple of 976,489,375,979,429 is 759267366000.
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.
976 x 489 x 375 x 979 x 429 = 75167469234000
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.
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
489 : 1, 3, 163, 489
375 : 1, 3, 5, 15, 25, 75, 125, 375
979 : 1, 11, 89, 979
429 : 1, 3, 11, 13, 33, 39, 143, 429
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 976,489,375,979,429, is 1.
Now, the common factors can be found like this.
976:2x 2x 2x 2x 61
489:3x 163
375:3x 5x 5x 5
979:11x 89
429:3x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 11 = 99
Therefore, the value for common factors is 99.
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 = 75167469234000/(1x99)
LCM = 75167469234000/99
LCM = 759267366000
Thus, we can understand that the LCM of 976,489,375,979,429 is 759267366000.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 976, 489, 375, 979, 429
1. What is the LCM of 976, 489, 375, 979, 429?
Answer: LCM of 976, 489, 375, 979, 429 is 759267366000.
2. How to calculate the LCM of 976, 489, 375, 979, 429?
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 976, 489, 375, 979, 429.
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}.