LCM of 376, 651, 882, 112, 281
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 376, 651, 882, 112, 281 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 376, 651, 882, 112, 281. So, keep reading to learn more.
Given numbers are 376,651,882,112,281
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 376,651,882,112,281 is 2888846352.
Find LCM of 376,651,882,112,281 with Prime Factorization
| 2 | 376, 651, 882, 112, 281 |
| 2 | 188, 651, 441, 56, 281 |
| 2 | 94, 651, 441, 28, 281 |
| 3 | 47, 651, 441, 14, 281 |
| 7 | 47, 217, 147, 14, 281 |
| 47, 31, 21, 2, 281 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 47 x 31 x 21 x 2 x 281 = 2888846352
Therefore, the lowest common multiple of 376,651,882,112,281 is 2888846352.
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.
376 x 651 x 882 x 112 x 281 = 6794566619904
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.
376 : 1, 2, 4, 8, 47, 94, 188, 376
651 : 1, 3, 7, 21, 31, 93, 217, 651
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
281 : 1, 281
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,651,882,112,281, is 1.
Now, the common factors can be found like this.
376:2x 2x 2x 47
651:3x 7x 31
882:2x 3x 3x 7x 7
112:2x 2x 2x 2x 7
281:281
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 7x 7 = 2352
Therefore, the value for common factors is 2352.
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 = 6794566619904/(1x2352)
LCM = 6794566619904/2352
LCM = 2888846352
Thus, we can understand that the LCM of 376,651,882,112,281 is 2888846352.
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FAQs on LCM of 376, 651, 882, 112, 281
1. What is the LCM of 376, 651, 882, 112, 281?
Answer: LCM of 376, 651, 882, 112, 281 is 2888846352.
2. How to calculate the LCM of 376, 651, 882, 112, 281?
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 376, 651, 882, 112, 281.
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}.