LCM of 527, 865, 681, 525, 825
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 527, 865, 681, 525, 825 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 527, 865, 681, 525, 825. So, keep reading to learn more.
Given numbers are 527,865,681,525,825
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 527,865,681,525,825 is 119518343175.
Find LCM of 527,865,681,525,825 with Prime Factorization
| 3 | 527, 865, 681, 525, 825 |
| 5 | 527, 865, 227, 175, 275 |
| 5 | 527, 173, 227, 35, 55 |
| 527, 173, 227, 7, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 527 x 173 x 227 x 7 x 11 = 119518343175
Therefore, the lowest common multiple of 527,865,681,525,825 is 119518343175.
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.
527 x 865 x 681 x 525 x 825 = 134458136071875
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.
527 : 1, 17, 31, 527
865 : 1, 5, 173, 865
681 : 1, 3, 227, 681
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 527,865,681,525,825, is 1.
Now, the common factors can be found like this.
527:17x 31
865:5x 173
681:3x 227
525:3x 5x 5x 7
825:3x 5x 5x 11
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 5x 5 = 1125
Therefore, the value for common factors is 1125.
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 = 134458136071875/(1x1125)
LCM = 134458136071875/1125
LCM = 119518343175
Thus, we can understand that the LCM of 527,865,681,525,825 is 119518343175.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 527, 865, 681, 525, 825
1. What is the LCM of 527, 865, 681, 525, 825?
Answer: LCM of 527, 865, 681, 525, 825 is 119518343175.
2. How to calculate the LCM of 527, 865, 681, 525, 825?
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 527, 865, 681, 525, 825.
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}.