LCM of 881, 556, 789, 772, 525
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 881, 556, 789, 772, 525 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 881, 556, 789, 772, 525. So, keep reading to learn more.
Given numbers are 881,556,789,772,525
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 881,556,789,772,525 is 13053382400100.
Find LCM of 881,556,789,772,525 with Prime Factorization
| 2 | 881, 556, 789, 772, 525 |
| 2 | 881, 278, 789, 386, 525 |
| 3 | 881, 139, 789, 193, 525 |
| 881, 139, 263, 193, 175 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 881 x 139 x 263 x 193 x 175 = 13053382400100
Therefore, the lowest common multiple of 881,556,789,772,525 is 13053382400100.
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.
881 x 556 x 789 x 772 x 525 = 156640588801200
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.
881 : 1, 881
556 : 1, 2, 4, 139, 278, 556
789 : 1, 3, 263, 789
772 : 1, 2, 4, 193, 386, 772
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 881,556,789,772,525, is 1.
Now, the common factors can be found like this.
881:881
556:2x 2x 139
789:3x 263
772:2x 2x 193
525:3x 5x 5x 7
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 3 = 12
Therefore, the value for common factors is 12.
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 = 156640588801200/(1x12)
LCM = 156640588801200/12
LCM = 13053382400100
Thus, we can understand that the LCM of 881,556,789,772,525 is 13053382400100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 881, 556, 789, 772, 525
1. What is the LCM of 881, 556, 789, 772, 525?
Answer: LCM of 881, 556, 789, 772, 525 is 13053382400100.
2. How to calculate the LCM of 881, 556, 789, 772, 525?
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 881, 556, 789, 772, 525.
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}.