LCM of 546, 748, 819, 798, 885
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 748, 819, 798, 885 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 546, 748, 819, 798, 885. So, keep reading to learn more.
Given numbers are 546,748,819,798,885
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,748,819,798,885 is 3433690260.
Find LCM of 546,748,819,798,885 with Prime Factorization
| 2 | 546, 748, 819, 798, 885 |
| 3 | 273, 374, 819, 399, 885 |
| 7 | 91, 374, 273, 133, 295 |
| 13 | 13, 374, 39, 19, 295 |
| 1, 374, 3, 19, 295 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 1 x 374 x 3 x 19 x 295 = 3433690260
Therefore, the lowest common multiple of 546,748,819,798,885 is 3433690260.
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.
546 x 748 x 819 x 798 x 885 = 236224155126960
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
885 : 1, 3, 5, 15, 59, 177, 295, 885
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,748,819,798,885, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
748:2x 2x 11x 17
819:3x 3x 7x 13
798:2x 3x 7x 19
885:3x 5x 59
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 3x 3x 3x 7x 7x 13 = 68796
Therefore, the value for common factors is 68796.
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 = 236224155126960/(1x68796)
LCM = 236224155126960/68796
LCM = 3433690260
Thus, we can understand that the LCM of 546,748,819,798,885 is 3433690260.
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FAQs on LCM of 546, 748, 819, 798, 885
1. What is the LCM of 546, 748, 819, 798, 885?
Answer: LCM of 546, 748, 819, 798, 885 is 3433690260.
2. How to calculate the LCM of 546, 748, 819, 798, 885?
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 546, 748, 819, 798, 885.
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}.