LCM of 882, 377, 841, 308, 642
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 882, 377, 841, 308, 642 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, 377, 841, 308, 642. So, keep reading to learn more.
Given numbers are 882,377,841,308,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,377,841,308,642 is 22699400724.
Find LCM of 882,377,841,308,642 with Prime Factorization
| 2 | 882, 377, 841, 308, 642 |
| 3 | 441, 377, 841, 154, 321 |
| 7 | 147, 377, 841, 154, 107 |
| 29 | 21, 377, 841, 22, 107 |
| 21, 13, 29, 22, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 29 x 21 x 13 x 29 x 22 x 107 = 22699400724
Therefore, the lowest common multiple of 882,377,841,308,642 is 22699400724.
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 377 x 841 x 308 x 642 = 55295740163664
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
377 : 1, 13, 29, 377
841 : 1, 29, 841
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
642 : 1, 2, 3, 6, 107, 214, 321, 642
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,377,841,308,642, is 1.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
377:13x 29
841:29x 29
308:2x 2x 7x 11
642:2x 3x 107
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 3x 7x 29 = 2436
Therefore, the value for common factors is 2436.
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 = 55295740163664/(1x2436)
LCM = 55295740163664/2436
LCM = 22699400724
Thus, we can understand that the LCM of 882,377,841,308,642 is 22699400724.
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FAQs on LCM of 882, 377, 841, 308, 642
1. What is the LCM of 882, 377, 841, 308, 642?
Answer: LCM of 882, 377, 841, 308, 642 is 22699400724.
2. How to calculate the LCM of 882, 377, 841, 308, 642?
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, 377, 841, 308, 642.
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}.