LCM of 403, 832, 868, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 832, 868, 214 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 403, 832, 868, 214. So, keep reading to learn more.
Given numbers are 403,832,868,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,832,868,214 is 19318208.
Find LCM of 403,832,868,214 with Prime Factorization
| 2 | 403, 832, 868, 214 |
| 2 | 403, 416, 434, 107 |
| 13 | 403, 208, 217, 107 |
| 31 | 31, 16, 217, 107 |
| 1, 16, 7, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 31 x 1 x 16 x 7 x 107 = 19318208
Therefore, the lowest common multiple of 403,832,868,214 is 19318208.
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.
403 x 832 x 868 x 214 = 62281902592
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.
403 : 1, 13, 31, 403
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,832,868,214, is 1.
Now, the common factors can be found like this.
403:13x 31
832:2x 2x 2x 2x 2x 2x 13
868:2x 2x 7x 31
214:2x 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 2x 13x 31 = 3224
Therefore, the value for common factors is 3224.
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 = 62281902592/(1x3224)
LCM = 62281902592/3224
LCM = 19318208
Thus, we can understand that the LCM of 403,832,868,214 is 19318208.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 403, 832, 868, 214
1. What is the LCM of 403, 832, 868, 214?
Answer: LCM of 403, 832, 868, 214 is 19318208.
2. How to calculate the LCM of 403, 832, 868, 214?
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 403, 832, 868, 214.
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}.