LCM of 882, 723, 976, 268, 376
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 882, 723, 976, 268, 376 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 882, 723, 976, 268, 376. So, keep reading to learn more.
Given numbers are 882,723,976,268,376
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,723,976,268,376 is 326646576144.
Find LCM of 882,723,976,268,376 with Prime Factorization
| 2 | 882, 723, 976, 268, 376 |
| 2 | 441, 723, 488, 134, 188 |
| 2 | 441, 723, 244, 67, 94 |
| 3 | 441, 723, 122, 67, 47 |
| 147, 241, 122, 67, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 147 x 241 x 122 x 67 x 47 = 326646576144
Therefore, the lowest common multiple of 882,723,976,268,376 is 326646576144.
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.
882 x 723 x 976 x 268 x 376 = 62716142619648
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.
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
723 : 1, 3, 241, 723
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
268 : 1, 2, 4, 67, 134, 268
376 : 1, 2, 4, 8, 47, 94, 188, 376
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,723,976,268,376, is 1.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
723:3x 241
976:2x 2x 2x 2x 61
268:2x 2x 67
376:2x 2x 2x 47
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 3 = 192
Therefore, the value for common factors is 192.
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 = 62716142619648/(1x192)
LCM = 62716142619648/192
LCM = 326646576144
Thus, we can understand that the LCM of 882,723,976,268,376 is 326646576144.
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FAQs on LCM of 882, 723, 976, 268, 376
1. What is the LCM of 882, 723, 976, 268, 376?
Answer: LCM of 882, 723, 976, 268, 376 is 326646576144.
2. How to calculate the LCM of 882, 723, 976, 268, 376?
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 882, 723, 976, 268, 376.
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}.