LCM of 798, 513, 523, 654, 981
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 798, 513, 523, 654, 981 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 798, 513, 523, 654, 981. So, keep reading to learn more.
Given numbers are 798,513,523,654,981
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 798,513,523,654,981 is 409424274.
Find LCM of 798,513,523,654,981 with Prime Factorization
| 2 | 798, 513, 523, 654, 981 |
| 3 | 399, 513, 523, 327, 981 |
| 3 | 133, 171, 523, 109, 327 |
| 19 | 133, 57, 523, 109, 109 |
| 109 | 7, 3, 523, 109, 109 |
| 7, 3, 523, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 109 x 7 x 3 x 523 x 1 x 1 = 409424274
Therefore, the lowest common multiple of 798,513,523,654,981 is 409424274.
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.
798 x 513 x 523 x 654 x 981 = 137362662775548
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.
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
513 : 1, 3, 9, 19, 27, 57, 171, 513
523 : 1, 523
654 : 1, 2, 3, 6, 109, 218, 327, 654
981 : 1, 3, 9, 109, 327, 981
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,513,523,654,981, is 1.
Now, the common factors can be found like this.
798:2x 3x 7x 19
513:3x 3x 3x 19
523:523
654:2x 3x 109
981:3x 3x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 19x 109 = 335502
Therefore, the value for common factors is 335502.
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 = 137362662775548/(1x335502)
LCM = 137362662775548/335502
LCM = 409424274
Thus, we can understand that the LCM of 798,513,523,654,981 is 409424274.
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FAQs on LCM of 798, 513, 523, 654, 981
1. What is the LCM of 798, 513, 523, 654, 981?
Answer: LCM of 798, 513, 523, 654, 981 is 409424274.
2. How to calculate the LCM of 798, 513, 523, 654, 981?
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 798, 513, 523, 654, 981.
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}.