LCM of 867, 924, 667, 609, 681
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 867, 924, 667, 609, 681 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, 924, 667, 609, 681. So, keep reading to learn more.
Given numbers are 867,924,667,609,681
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,924,667,609,681 is 40431653724.
Find LCM of 867,924,667,609,681 with Prime Factorization
| 3 | 867, 924, 667, 609, 681 |
| 7 | 289, 308, 667, 203, 227 |
| 29 | 289, 44, 667, 29, 227 |
| 289, 44, 23, 1, 227 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 29 x 289 x 44 x 23 x 1 x 227 = 40431653724
Therefore, the lowest common multiple of 867,924,667,609,681 is 40431653724.
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 924 x 667 x 609 x 681 = 221605894061244
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
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
667 : 1, 23, 29, 667
609 : 1, 3, 7, 21, 29, 87, 203, 609
681 : 1, 3, 227, 681
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,924,667,609,681, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
924:2x 2x 3x 7x 11
667:23x 29
609:3x 7x 29
681:3x 227
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 7x 29 = 5481
Therefore, the value for common factors is 5481.
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 = 221605894061244/(1x5481)
LCM = 221605894061244/5481
LCM = 40431653724
Thus, we can understand that the LCM of 867,924,667,609,681 is 40431653724.
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FAQs on LCM of 867, 924, 667, 609, 681
1. What is the LCM of 867, 924, 667, 609, 681?
Answer: LCM of 867, 924, 667, 609, 681 is 40431653724.
2. How to calculate the LCM of 867, 924, 667, 609, 681?
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, 924, 667, 609, 681.
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}.