LCM of 824, 559, 828, 578, 888
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 824, 559, 828, 578, 888 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 824, 559, 828, 578, 888. So, keep reading to learn more.
Given numbers are 824,559,828,578,888
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,559,828,578,888 is 1019550945816.
Find LCM of 824,559,828,578,888 with Prime Factorization
| 2 | 824, 559, 828, 578, 888 |
| 2 | 412, 559, 414, 289, 444 |
| 2 | 206, 559, 207, 289, 222 |
| 3 | 103, 559, 207, 289, 111 |
| 103, 559, 69, 289, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 103 x 559 x 69 x 289 x 37 = 1019550945816
Therefore, the lowest common multiple of 824,559,828,578,888 is 1019550945816.
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.
824 x 559 x 828 x 578 x 888 = 195753781596672
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.
824 : 1, 2, 4, 8, 103, 206, 412, 824
559 : 1, 13, 43, 559
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
578 : 1, 2, 17, 34, 289, 578
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,559,828,578,888, is 1.
Now, the common factors can be found like this.
824:2x 2x 2x 103
559:13x 43
828:2x 2x 3x 3x 23
578:2x 17x 17
888:2x 2x 2x 3x 37
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 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 195753781596672/(1x192)
LCM = 195753781596672/192
LCM = 1019550945816
Thus, we can understand that the LCM of 824,559,828,578,888 is 1019550945816.
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FAQs on LCM of 824, 559, 828, 578, 888
1. What is the LCM of 824, 559, 828, 578, 888?
Answer: LCM of 824, 559, 828, 578, 888 is 1019550945816.
2. How to calculate the LCM of 824, 559, 828, 578, 888?
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 824, 559, 828, 578, 888.
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}.