LCM of 978, 869, 644, 704, 943
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 869, 644, 704, 943 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 978, 869, 644, 704, 943. So, keep reading to learn more.
Given numbers are 978,869,644,704,943
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,869,644,704,943 is 179522274624.
Find LCM of 978,869,644,704,943 with Prime Factorization
| 2 | 978, 869, 644, 704, 943 |
| 2 | 489, 869, 322, 352, 943 |
| 11 | 489, 869, 161, 176, 943 |
| 23 | 489, 79, 161, 16, 943 |
| 489, 79, 7, 16, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 23 x 489 x 79 x 7 x 16 x 41 = 179522274624
Therefore, the lowest common multiple of 978,869,644,704,943 is 179522274624.
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.
978 x 869 x 644 x 704 x 943 = 363353083838976
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.
978 : 1, 2, 3, 6, 163, 326, 489, 978
869 : 1, 11, 79, 869
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
943 : 1, 23, 41, 943
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,869,644,704,943, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
869:11x 79
644:2x 2x 7x 23
704:2x 2x 2x 2x 2x 2x 11
943:23x 41
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 11x 23 = 2024
Therefore, the value for common factors is 2024.
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 = 363353083838976/(1x2024)
LCM = 363353083838976/2024
LCM = 179522274624
Thus, we can understand that the LCM of 978,869,644,704,943 is 179522274624.
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FAQs on LCM of 978, 869, 644, 704, 943
1. What is the LCM of 978, 869, 644, 704, 943?
Answer: LCM of 978, 869, 644, 704, 943 is 179522274624.
2. How to calculate the LCM of 978, 869, 644, 704, 943?
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 978, 869, 644, 704, 943.
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}.