LCM of 867, 652, 113, 612, 652
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 867, 652, 113, 612, 652 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 867, 652, 113, 612, 652. So, keep reading to learn more.
Given numbers are 867,652,113,612,652
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,652,113,612,652 is 191631276.
Find LCM of 867,652,113,612,652 with Prime Factorization
| 2 | 867, 652, 113, 612, 652 |
| 2 | 867, 326, 113, 306, 326 |
| 3 | 867, 163, 113, 153, 163 |
| 17 | 289, 163, 113, 51, 163 |
| 163 | 17, 163, 113, 3, 163 |
| 17, 1, 113, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 163 x 17 x 1 x 113 x 3 x 1 = 191631276
Therefore, the lowest common multiple of 867,652,113,612,652 is 191631276.
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.
867 x 652 x 113 x 612 x 652 = 25488492758208
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.
867 : 1, 3, 17, 51, 289, 867
652 : 1, 2, 4, 163, 326, 652
113 : 1, 113
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
652 : 1, 2, 4, 163, 326, 652
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,652,113,612,652, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
652:2x 2x 163
113:113
612:2x 2x 3x 3x 17
652:2x 2x 163
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 17x 163 = 133008
Therefore, the value for common factors is 133008.
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 = 25488492758208/(1x133008)
LCM = 25488492758208/133008
LCM = 191631276
Thus, we can understand that the LCM of 867,652,113,612,652 is 191631276.
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FAQs on LCM of 867, 652, 113, 612, 652
1. What is the LCM of 867, 652, 113, 612, 652?
Answer: LCM of 867, 652, 113, 612, 652 is 191631276.
2. How to calculate the LCM of 867, 652, 113, 612, 652?
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 867, 652, 113, 612, 652.
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}.