LCM of 408, 102, 113, 918, 872
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 408, 102, 113, 918, 872 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 408, 102, 113, 918, 872. So, keep reading to learn more.
Given numbers are 408,102,113,918,872
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 408,102,113,918,872 is 45228024.
Find LCM of 408,102,113,918,872 with Prime Factorization
| 2 | 408, 102, 113, 918, 872 |
| 2 | 204, 51, 113, 459, 436 |
| 2 | 102, 51, 113, 459, 218 |
| 3 | 51, 51, 113, 459, 109 |
| 17 | 17, 17, 113, 153, 109 |
| 1, 1, 113, 9, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 1 x 1 x 113 x 9 x 109 = 45228024
Therefore, the lowest common multiple of 408,102,113,918,872 is 45228024.
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.
408 x 102 x 113 x 918 x 872 = 3764418893568
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.
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
102 : 1, 2, 3, 6, 17, 34, 51, 102
113 : 1, 113
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
872 : 1, 2, 4, 8, 109, 218, 436, 872
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,102,113,918,872, is 1.
Now, the common factors can be found like this.
408:2x 2x 2x 3x 17
102:2x 3x 17
113:113
918:2x 3x 3x 3x 17
872:2x 2x 2x 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 3x 3x 17x 17 = 83232
Therefore, the value for common factors is 83232.
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 = 3764418893568/(1x83232)
LCM = 3764418893568/83232
LCM = 45228024
Thus, we can understand that the LCM of 408,102,113,918,872 is 45228024.
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FAQs on LCM of 408, 102, 113, 918, 872
1. What is the LCM of 408, 102, 113, 918, 872?
Answer: LCM of 408, 102, 113, 918, 872 is 45228024.
2. How to calculate the LCM of 408, 102, 113, 918, 872?
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 408, 102, 113, 918, 872.
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}.