LCM of 825, 468, 968, 586, 657
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 825, 468, 968, 586, 657 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 825, 468, 968, 586, 657. So, keep reading to learn more.
Given numbers are 825,468,968,586,657
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,468,968,586,657 is 60560814600.
Find LCM of 825,468,968,586,657 with Prime Factorization
| 2 | 825, 468, 968, 586, 657 |
| 2 | 825, 234, 484, 293, 657 |
| 3 | 825, 117, 242, 293, 657 |
| 3 | 275, 39, 242, 293, 219 |
| 11 | 275, 13, 242, 293, 73 |
| 25, 13, 22, 293, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 25 x 13 x 22 x 293 x 73 = 60560814600
Therefore, the lowest common multiple of 825,468,968,586,657 is 60560814600.
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.
825 x 468 x 968 x 586 x 657 = 143892495489600
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.
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
586 : 1, 2, 293, 586
657 : 1, 3, 9, 73, 219, 657
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,468,968,586,657, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
468:2x 2x 3x 3x 13
968:2x 2x 2x 11x 11
586:2x 293
657:3x 3x 73
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 3x 3x 3x 11 = 2376
Therefore, the value for common factors is 2376.
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 = 143892495489600/(1x2376)
LCM = 143892495489600/2376
LCM = 60560814600
Thus, we can understand that the LCM of 825,468,968,586,657 is 60560814600.
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FAQs on LCM of 825, 468, 968, 586, 657
1. What is the LCM of 825, 468, 968, 586, 657?
Answer: LCM of 825, 468, 968, 586, 657 is 60560814600.
2. How to calculate the LCM of 825, 468, 968, 586, 657?
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 825, 468, 968, 586, 657.
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}.