LCM of 525, 867, 953, 910, 867
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 525, 867, 953, 910, 867 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 525, 867, 953, 910, 867. So, keep reading to learn more.
Given numbers are 525,867,953,910,867
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 525,867,953,910,867 is 3759442050.
Find LCM of 525,867,953,910,867 with Prime Factorization
| 3 | 525, 867, 953, 910, 867 |
| 5 | 175, 289, 953, 910, 289 |
| 7 | 35, 289, 953, 182, 289 |
| 17 | 5, 289, 953, 26, 289 |
| 17 | 5, 17, 953, 26, 17 |
| 5, 1, 953, 26, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 17 x 17 x 5 x 1 x 953 x 26 x 1 = 3759442050
Therefore, the lowest common multiple of 525,867,953,910,867 is 3759442050.
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.
525 x 867 x 953 x 910 x 867 = 342240807021750
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.
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
867 : 1, 3, 17, 51, 289, 867
953 : 1, 953
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
867 : 1, 3, 17, 51, 289, 867
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 525,867,953,910,867, is 1.
Now, the common factors can be found like this.
525:3x 5x 5x 7
867:3x 17x 17
953:953
910:2x 5x 7x 13
867:3x 17x 17
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 5x 7x 17x 17 = 91035
Therefore, the value for common factors is 91035.
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 = 342240807021750/(1x91035)
LCM = 342240807021750/91035
LCM = 3759442050
Thus, we can understand that the LCM of 525,867,953,910,867 is 3759442050.
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FAQs on LCM of 525, 867, 953, 910, 867
1. What is the LCM of 525, 867, 953, 910, 867?
Answer: LCM of 525, 867, 953, 910, 867 is 3759442050.
2. How to calculate the LCM of 525, 867, 953, 910, 867?
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 525, 867, 953, 910, 867.
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}.