LCM of 976, 860, 816, 576, 638
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 976, 860, 816, 576, 638 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, 860, 816, 576, 638. So, keep reading to learn more.
Given numbers are 976,860,816,576,638
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 976,860,816,576,638 is 40966643520.
Find LCM of 976,860,816,576,638 with Prime Factorization
| 2 | 976, 860, 816, 576, 638 |
| 2 | 488, 430, 408, 288, 319 |
| 2 | 244, 215, 204, 144, 319 |
| 2 | 122, 215, 102, 72, 319 |
| 3 | 61, 215, 51, 36, 319 |
| 61, 215, 17, 12, 319 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 61 x 215 x 17 x 12 x 319 = 40966643520
Therefore, the lowest common multiple of 976,860,816,576,638 is 40966643520.
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 860 x 816 x 576 x 638 = 251699057786880
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
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
638 : 1, 2, 11, 22, 29, 58, 319, 638
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 976,860,816,576,638, is 2.
Now, the common factors can be found like this.
976:2x 2x 2x 2x 61
860:2x 2x 5x 43
816:2x 2x 2x 2x 3x 17
576:2x 2x 2x 2x 2x 2x 3x 3
638:2x 11x 29
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 2x 2x 2x 2x 2x 2x 3 = 3072
Therefore, the value for common factors is 3072.
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 = 251699057786880/(2x3072)
LCM = 251699057786880/6144
LCM = 40966643520
Thus, we can understand that the LCM of 976,860,816,576,638 is 40966643520.
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FAQs on LCM of 976, 860, 816, 576, 638
1. What is the LCM of 976, 860, 816, 576, 638?
Answer: LCM of 976, 860, 816, 576, 638 is 40966643520.
2. How to calculate the LCM of 976, 860, 816, 576, 638?
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, 860, 816, 576, 638.
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}.