LCM of 429, 507, 528, 648
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 507, 528, 648 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, 507, 528, 648. So, keep reading to learn more.
Given numbers are 429,507,528,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,507,528,648 is 2409264.
Find LCM of 429,507,528,648 with Prime Factorization
| 2 | 429, 507, 528, 648 |
| 2 | 429, 507, 264, 324 |
| 2 | 429, 507, 132, 162 |
| 3 | 429, 507, 66, 81 |
| 11 | 143, 169, 22, 27 |
| 13 | 13, 169, 2, 27 |
| 1, 13, 2, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 13 x 1 x 13 x 2 x 27 = 2409264
Therefore, the lowest common multiple of 429,507,528,648 is 2409264.
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 507 x 528 x 648 = 74417346432
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
507 : 1, 3, 13, 39, 169, 507
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,507,528,648, is 3.
Now, the common factors can be found like this.
429:3x 11x 13
507:3x 13x 13
528:2x 2x 2x 2x 3x 11
648:2x 2x 2x 3x 3x 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 3x 3x 11x 13 = 10296
Therefore, the value for common factors is 10296.
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 = 74417346432/(3x10296)
LCM = 74417346432/30888
LCM = 2409264
Thus, we can understand that the LCM of 429,507,528,648 is 2409264.
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FAQs on LCM of 429, 507, 528, 648
1. What is the LCM of 429, 507, 528, 648?
Answer: LCM of 429, 507, 528, 648 is 2409264.
2. How to calculate the LCM of 429, 507, 528, 648?
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, 507, 528, 648.
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}.