LCM of 563, 285, 138, 759
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 563, 285, 138, 759 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 563, 285, 138, 759. So, keep reading to learn more.
Given numbers are 563,285,138,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 563,285,138,759 is 81190230.
Find LCM of 563,285,138,759 with Prime Factorization
| 3 | 563, 285, 138, 759 |
| 23 | 563, 95, 46, 253 |
| 563, 95, 2, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 563 x 95 x 2 x 11 = 81190230
Therefore, the lowest common multiple of 563,285,138,759 is 81190230.
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.
563 x 285 x 138 x 759 = 16806377610
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.
563 : 1, 563
285 : 1, 3, 5, 15, 19, 57, 95, 285
138 : 1, 2, 3, 6, 23, 46, 69, 138
759 : 1, 3, 11, 23, 33, 69, 253, 759
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,285,138,759, is 1.
Now, the common factors can be found like this.
563:563
285:3x 5x 19
138:2x 3x 23
759:3x 11x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 23 = 207
Therefore, the value for common factors is 207.
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 = 16806377610/(1x207)
LCM = 16806377610/207
LCM = 81190230
Thus, we can understand that the LCM of 563,285,138,759 is 81190230.
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FAQs on LCM of 563, 285, 138, 759
1. What is the LCM of 563, 285, 138, 759?
Answer: LCM of 563, 285, 138, 759 is 81190230.
2. How to calculate the LCM of 563, 285, 138, 759?
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 563, 285, 138, 759.
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}.