LCM of 664, 869, 442, 995, 208
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 664, 869, 442, 995, 208 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 664, 869, 442, 995, 208. So, keep reading to learn more.
Given numbers are 664,869,442,995,208
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 664,869,442,995,208 is 253765866640.
Find LCM of 664,869,442,995,208 with Prime Factorization
| 2 | 664, 869, 442, 995, 208 |
| 2 | 332, 869, 221, 995, 104 |
| 2 | 166, 869, 221, 995, 52 |
| 13 | 83, 869, 221, 995, 26 |
| 83, 869, 17, 995, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 83 x 869 x 17 x 995 x 2 = 253765866640
Therefore, the lowest common multiple of 664,869,442,995,208 is 253765866640.
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.
664 x 869 x 442 x 995 x 208 = 52783300261120
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.
664 : 1, 2, 4, 8, 83, 166, 332, 664
869 : 1, 11, 79, 869
442 : 1, 2, 13, 17, 26, 34, 221, 442
995 : 1, 5, 199, 995
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 664,869,442,995,208, is 1.
Now, the common factors can be found like this.
664:2x 2x 2x 83
869:11x 79
442:2x 13x 17
995:5x 199
208:2x 2x 2x 2x 13
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 13 = 208
Therefore, the value for common factors is 208.
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 = 52783300261120/(1x208)
LCM = 52783300261120/208
LCM = 253765866640
Thus, we can understand that the LCM of 664,869,442,995,208 is 253765866640.
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FAQs on LCM of 664, 869, 442, 995, 208
1. What is the LCM of 664, 869, 442, 995, 208?
Answer: LCM of 664, 869, 442, 995, 208 is 253765866640.
2. How to calculate the LCM of 664, 869, 442, 995, 208?
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 664, 869, 442, 995, 208.
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}.