LCM of 371, 109, 872, 804, 852
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 371, 109, 872, 804, 852 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 371, 109, 872, 804, 852. So, keep reading to learn more.
Given numbers are 371,109,872,804,852
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 371,109,872,804,852 is 4616839752.
Find LCM of 371,109,872,804,852 with Prime Factorization
| 2 | 371, 109, 872, 804, 852 |
| 2 | 371, 109, 436, 402, 426 |
| 3 | 371, 109, 218, 201, 213 |
| 109 | 371, 109, 218, 67, 71 |
| 371, 1, 2, 67, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 109 x 371 x 1 x 2 x 67 x 71 = 4616839752
Therefore, the lowest common multiple of 371,109,872,804,852 is 4616839752.
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.
371 x 109 x 872 x 804 x 852 = 24155305582464
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.
371 : 1, 7, 53, 371
109 : 1, 109
872 : 1, 2, 4, 8, 109, 218, 436, 872
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 371,109,872,804,852, is 1.
Now, the common factors can be found like this.
371:7x 53
109:109
872:2x 2x 2x 109
804:2x 2x 3x 67
852:2x 2x 3x 71
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 109 = 5232
Therefore, the value for common factors is 5232.
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 = 24155305582464/(1x5232)
LCM = 24155305582464/5232
LCM = 4616839752
Thus, we can understand that the LCM of 371,109,872,804,852 is 4616839752.
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FAQs on LCM of 371, 109, 872, 804, 852
1. What is the LCM of 371, 109, 872, 804, 852?
Answer: LCM of 371, 109, 872, 804, 852 is 4616839752.
2. How to calculate the LCM of 371, 109, 872, 804, 852?
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 371, 109, 872, 804, 852.
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}.