LCM of 332, 506, 228, 551, 828
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 332, 506, 228, 551, 828 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 332, 506, 228, 551, 828. So, keep reading to learn more.
Given numbers are 332,506,228,551,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 332,506,228,551,828 is 416536164.
Find LCM of 332,506,228,551,828 with Prime Factorization
| 2 | 332, 506, 228, 551, 828 |
| 2 | 166, 253, 114, 551, 414 |
| 3 | 83, 253, 57, 551, 207 |
| 19 | 83, 253, 19, 551, 69 |
| 23 | 83, 253, 1, 29, 69 |
| 83, 11, 1, 29, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 23 x 83 x 11 x 1 x 29 x 3 = 416536164
Therefore, the lowest common multiple of 332,506,228,551,828 is 416536164.
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.
332 x 506 x 228 x 551 x 828 = 17474525152128
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.
332 : 1, 2, 4, 83, 166, 332
506 : 1, 2, 11, 22, 23, 46, 253, 506
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
551 : 1, 19, 29, 551
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 332,506,228,551,828, is 1.
Now, the common factors can be found like this.
332:2x 2x 83
506:2x 11x 23
228:2x 2x 3x 19
551:19x 29
828:2x 2x 3x 3x 23
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 19x 23 = 41952
Therefore, the value for common factors is 41952.
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 = 17474525152128/(1x41952)
LCM = 17474525152128/41952
LCM = 416536164
Thus, we can understand that the LCM of 332,506,228,551,828 is 416536164.
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FAQs on LCM of 332, 506, 228, 551, 828
1. What is the LCM of 332, 506, 228, 551, 828?
Answer: LCM of 332, 506, 228, 551, 828 is 416536164.
2. How to calculate the LCM of 332, 506, 228, 551, 828?
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 332, 506, 228, 551, 828.
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}.