LCM of 882, 896, 936, 676, 109
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 882, 896, 936, 676, 109 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, 896, 936, 676, 109. So, keep reading to learn more.
Given numbers are 882,896,936,676,109
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,896,936,676,109 is 1039828608.
Find LCM of 882,896,936,676,109 with Prime Factorization
| 2 | 882, 896, 936, 676, 109 |
| 2 | 441, 448, 468, 338, 109 |
| 2 | 441, 224, 234, 169, 109 |
| 3 | 441, 112, 117, 169, 109 |
| 3 | 147, 112, 39, 169, 109 |
| 7 | 49, 112, 13, 169, 109 |
| 13 | 7, 16, 13, 169, 109 |
| 7, 16, 1, 13, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 7 x 13 x 7 x 16 x 1 x 13 x 109 = 1039828608
Therefore, the lowest common multiple of 882,896,936,676,109 is 1039828608.
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 896 x 936 x 676 x 109 = 54503656316928
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
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
109 : 1, 109
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,896,936,676,109, is 1.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
896:2x 2x 2x 2x 2x 2x 2x 7
936:2x 2x 2x 3x 3x 13
676:2x 2x 13x 13
109:109
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 3x 3x 7x 13 = 52416
Therefore, the value for common factors is 52416.
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 = 54503656316928/(1x52416)
LCM = 54503656316928/52416
LCM = 1039828608
Thus, we can understand that the LCM of 882,896,936,676,109 is 1039828608.
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FAQs on LCM of 882, 896, 936, 676, 109
1. What is the LCM of 882, 896, 936, 676, 109?
Answer: LCM of 882, 896, 936, 676, 109 is 1039828608.
2. How to calculate the LCM of 882, 896, 936, 676, 109?
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, 896, 936, 676, 109.
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}.