LCM of 825, 432, 616, 340, 929
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 825, 432, 616, 340, 929 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, 432, 616, 340, 929. So, keep reading to learn more.
Given numbers are 825,432,616,340,929
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,432,616,340,929 is 13133458800.
Find LCM of 825,432,616,340,929 with Prime Factorization
| 2 | 825, 432, 616, 340, 929 |
| 2 | 825, 216, 308, 170, 929 |
| 2 | 825, 108, 154, 85, 929 |
| 3 | 825, 54, 77, 85, 929 |
| 5 | 275, 18, 77, 85, 929 |
| 11 | 55, 18, 77, 17, 929 |
| 5, 18, 7, 17, 929 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 11 x 5 x 18 x 7 x 17 x 929 = 13133458800
Therefore, the lowest common multiple of 825,432,616,340,929 is 13133458800.
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 432 x 616 x 340 x 929 = 69344662464000
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
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
929 : 1, 929
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,432,616,340,929, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
432:2x 2x 2x 2x 3x 3x 3
616:2x 2x 2x 7x 11
340:2x 2x 5x 17
929:929
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 2x 2x 3x 5x 11 = 5280
Therefore, the value for common factors is 5280.
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 = 69344662464000/(1x5280)
LCM = 69344662464000/5280
LCM = 13133458800
Thus, we can understand that the LCM of 825,432,616,340,929 is 13133458800.
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FAQs on LCM of 825, 432, 616, 340, 929
1. What is the LCM of 825, 432, 616, 340, 929?
Answer: LCM of 825, 432, 616, 340, 929 is 13133458800.
2. How to calculate the LCM of 825, 432, 616, 340, 929?
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, 432, 616, 340, 929.
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}.