LCM of 528, 646, 748, 822, 873
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 528, 646, 748, 822, 873 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 528, 646, 748, 822, 873. So, keep reading to learn more.
Given numbers are 528,646,748,822,873
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 528,646,748,822,873 is 6799077648.
Find LCM of 528,646,748,822,873 with Prime Factorization
| 2 | 528, 646, 748, 822, 873 |
| 2 | 264, 323, 374, 411, 873 |
| 3 | 132, 323, 187, 411, 873 |
| 11 | 44, 323, 187, 137, 291 |
| 17 | 4, 323, 17, 137, 291 |
| 4, 19, 1, 137, 291 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 4 x 19 x 1 x 137 x 291 = 6799077648
Therefore, the lowest common multiple of 528,646,748,822,873 is 6799077648.
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.
528 x 646 x 748 x 822 x 873 = 183085562905344
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.
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
646 : 1, 2, 17, 19, 34, 38, 323, 646
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
822 : 1, 2, 3, 6, 137, 274, 411, 822
873 : 1, 3, 9, 97, 291, 873
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,646,748,822,873, is 1.
Now, the common factors can be found like this.
528:2x 2x 2x 2x 3x 11
646:2x 17x 19
748:2x 2x 11x 17
822:2x 3x 137
873:3x 3x 97
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 17 = 26928
Therefore, the value for common factors is 26928.
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 = 183085562905344/(1x26928)
LCM = 183085562905344/26928
LCM = 6799077648
Thus, we can understand that the LCM of 528,646,748,822,873 is 6799077648.
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FAQs on LCM of 528, 646, 748, 822, 873
1. What is the LCM of 528, 646, 748, 822, 873?
Answer: LCM of 528, 646, 748, 822, 873 is 6799077648.
2. How to calculate the LCM of 528, 646, 748, 822, 873?
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 528, 646, 748, 822, 873.
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}.