LCM of 429, 525, 810, 616, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 525, 810, 616, 144 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 429, 525, 810, 616, 144. So, keep reading to learn more.
Given numbers are 429,525,810,616,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,525,810,616,144 is 32432400.
Find LCM of 429,525,810,616,144 with Prime Factorization
| 2 | 429, 525, 810, 616, 144 |
| 2 | 429, 525, 405, 308, 72 |
| 2 | 429, 525, 405, 154, 36 |
| 3 | 429, 525, 405, 77, 18 |
| 3 | 143, 175, 135, 77, 6 |
| 5 | 143, 175, 45, 77, 2 |
| 7 | 143, 35, 9, 77, 2 |
| 11 | 143, 5, 9, 11, 2 |
| 13, 5, 9, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 7 x 11 x 13 x 5 x 9 x 1 x 2 = 32432400
Therefore, the lowest common multiple of 429,525,810,616,144 is 32432400.
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.
429 x 525 x 810 x 616 x 144 = 16182470304000
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.
429 : 1, 3, 11, 13, 33, 39, 143, 429
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,525,810,616,144, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
525:3x 5x 5x 7
810:2x 3x 3x 3x 3x 5
616:2x 2x 2x 7x 11
144:2x 2x 2x 2x 3x 3
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 3x 3x 3x 3x 5x 7x 11 = 498960
Therefore, the value for common factors is 498960.
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 = 16182470304000/(1x498960)
LCM = 16182470304000/498960
LCM = 32432400
Thus, we can understand that the LCM of 429,525,810,616,144 is 32432400.
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FAQs on LCM of 429, 525, 810, 616, 144
1. What is the LCM of 429, 525, 810, 616, 144?
Answer: LCM of 429, 525, 810, 616, 144 is 32432400.
2. How to calculate the LCM of 429, 525, 810, 616, 144?
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 429, 525, 810, 616, 144.
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}.