LCM of 868, 403, 721, 324
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 868, 403, 721, 324 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 868, 403, 721, 324. So, keep reading to learn more.
Given numbers are 868,403,721,324
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 868,403,721,324 is 94142412.
Find LCM of 868,403,721,324 with Prime Factorization
| 2 | 868, 403, 721, 324 |
| 2 | 434, 403, 721, 162 |
| 7 | 217, 403, 721, 81 |
| 31 | 31, 403, 103, 81 |
| 1, 13, 103, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 31 x 1 x 13 x 103 x 81 = 94142412
Therefore, the lowest common multiple of 868,403,721,324 is 94142412.
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.
868 x 403 x 721 x 324 = 81715613616
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.
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
403 : 1, 13, 31, 403
721 : 1, 7, 103, 721
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,403,721,324, is 1.
Now, the common factors can be found like this.
868:2x 2x 7x 31
403:13x 31
721:7x 103
324:2x 2x 3x 3x 3x 3
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 7x 31 = 868
Therefore, the value for common factors is 868.
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 = 81715613616/(1x868)
LCM = 81715613616/868
LCM = 94142412
Thus, we can understand that the LCM of 868,403,721,324 is 94142412.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 868, 403, 721, 324
1. What is the LCM of 868, 403, 721, 324?
Answer: LCM of 868, 403, 721, 324 is 94142412.
2. How to calculate the LCM of 868, 403, 721, 324?
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 868, 403, 721, 324.
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}.