LCM of 552, 810, 506, 604, 429
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 552, 810, 506, 604, 429 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 552, 810, 506, 604, 429. So, keep reading to learn more.
Given numbers are 552,810,506,604,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 552,810,506,604,429 is 1609110360.
Find LCM of 552,810,506,604,429 with Prime Factorization
| 2 | 552, 810, 506, 604, 429 |
| 2 | 276, 405, 253, 302, 429 |
| 3 | 138, 405, 253, 151, 429 |
| 11 | 46, 135, 253, 151, 143 |
| 23 | 46, 135, 23, 151, 13 |
| 2, 135, 1, 151, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 23 x 2 x 135 x 1 x 151 x 13 = 1609110360
Therefore, the lowest common multiple of 552,810,506,604,429 is 1609110360.
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.
552 x 810 x 506 x 604 x 429 = 58623108635520
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.
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
506 : 1, 2, 11, 22, 23, 46, 253, 506
604 : 1, 2, 4, 151, 302, 604
429 : 1, 3, 11, 13, 33, 39, 143, 429
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,810,506,604,429, is 1.
Now, the common factors can be found like this.
552:2x 2x 2x 3x 23
810:2x 3x 3x 3x 3x 5
506:2x 11x 23
604:2x 2x 151
429:3x 11x 13
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 11x 23 = 36432
Therefore, the value for common factors is 36432.
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 = 58623108635520/(1x36432)
LCM = 58623108635520/36432
LCM = 1609110360
Thus, we can understand that the LCM of 552,810,506,604,429 is 1609110360.
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FAQs on LCM of 552, 810, 506, 604, 429
1. What is the LCM of 552, 810, 506, 604, 429?
Answer: LCM of 552, 810, 506, 604, 429 is 1609110360.
2. How to calculate the LCM of 552, 810, 506, 604, 429?
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 552, 810, 506, 604, 429.
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}.