LCM of 510, 885, 759, 798, 110
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 510, 885, 759, 798, 110 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 510, 885, 759, 798, 110. So, keep reading to learn more.
Given numbers are 510,885,759,798,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,885,759,798,110 is 1012498410.
Find LCM of 510,885,759,798,110 with Prime Factorization
| 2 | 510, 885, 759, 798, 110 |
| 3 | 255, 885, 759, 399, 55 |
| 5 | 85, 295, 253, 133, 55 |
| 11 | 17, 59, 253, 133, 11 |
| 17, 59, 23, 133, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 17 x 59 x 23 x 133 x 1 = 1012498410
Therefore, the lowest common multiple of 510,885,759,798,110 is 1012498410.
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.
510 x 885 x 759 x 798 x 110 = 30071202777000
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.
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
885 : 1, 3, 5, 15, 59, 177, 295, 885
759 : 1, 3, 11, 23, 33, 69, 253, 759
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
110 : 1, 2, 5, 10, 11, 22, 55, 110
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,885,759,798,110, is 1.
Now, the common factors can be found like this.
510:2x 3x 5x 17
885:3x 5x 59
759:3x 11x 23
798:2x 3x 7x 19
110:2x 5x 11
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 5x 5x 11 = 29700
Therefore, the value for common factors is 29700.
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 = 30071202777000/(1x29700)
LCM = 30071202777000/29700
LCM = 1012498410
Thus, we can understand that the LCM of 510,885,759,798,110 is 1012498410.
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FAQs on LCM of 510, 885, 759, 798, 110
1. What is the LCM of 510, 885, 759, 798, 110?
Answer: LCM of 510, 885, 759, 798, 110 is 1012498410.
2. How to calculate the LCM of 510, 885, 759, 798, 110?
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 510, 885, 759, 798, 110.
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}.