LCM of 441, 527, 867, 825, 528
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 441, 527, 867, 825, 528 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 441, 527, 867, 825, 528. So, keep reading to learn more.
Given numbers are 441,527,867,825,528
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 441,527,867,825,528 is 17384043600.
Find LCM of 441,527,867,825,528 with Prime Factorization
| 3 | 441, 527, 867, 825, 528 |
| 11 | 147, 527, 289, 275, 176 |
| 17 | 147, 527, 289, 25, 16 |
| 147, 31, 17, 25, 16 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 17 x 147 x 31 x 17 x 25 x 16 = 17384043600
Therefore, the lowest common multiple of 441,527,867,825,528 is 17384043600.
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.
441 x 527 x 867 x 825 x 528 = 87772036136400
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.
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
527 : 1, 17, 31, 527
867 : 1, 3, 17, 51, 289, 867
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,527,867,825,528, is 1.
Now, the common factors can be found like this.
441:3x 3x 7x 7
527:17x 31
867:3x 17x 17
825:3x 5x 5x 11
528:2x 2x 2x 2x 3x 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 3x 11x 17 = 5049
Therefore, the value for common factors is 5049.
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 = 87772036136400/(1x5049)
LCM = 87772036136400/5049
LCM = 17384043600
Thus, we can understand that the LCM of 441,527,867,825,528 is 17384043600.
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FAQs on LCM of 441, 527, 867, 825, 528
1. What is the LCM of 441, 527, 867, 825, 528?
Answer: LCM of 441, 527, 867, 825, 528 is 17384043600.
2. How to calculate the LCM of 441, 527, 867, 825, 528?
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 441, 527, 867, 825, 528.
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}.