LCM of 535, 902, 231, 665, 540
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 535, 902, 231, 665, 540 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 535, 902, 231, 665, 540. So, keep reading to learn more.
Given numbers are 535,902,231,665,540
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 535,902,231,665,540 is 3465817740.
Find LCM of 535,902,231,665,540 with Prime Factorization
| 2 | 535, 902, 231, 665, 540 |
| 3 | 535, 451, 231, 665, 270 |
| 5 | 535, 451, 77, 665, 90 |
| 7 | 107, 451, 77, 133, 18 |
| 11 | 107, 451, 11, 19, 18 |
| 107, 41, 1, 19, 18 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 107 x 41 x 1 x 19 x 18 = 3465817740
Therefore, the lowest common multiple of 535,902,231,665,540 is 3465817740.
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.
535 x 902 x 231 x 665 x 540 = 40030194897000
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.
535 : 1, 5, 107, 535
902 : 1, 2, 11, 22, 41, 82, 451, 902
231 : 1, 3, 7, 11, 21, 33, 77, 231
665 : 1, 5, 7, 19, 35, 95, 133, 665
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,902,231,665,540, is 1.
Now, the common factors can be found like this.
535:5x 107
902:2x 11x 41
231:3x 7x 11
665:5x 7x 19
540:2x 2x 3x 3x 3x 5
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 5x 5x 7x 11 = 11550
Therefore, the value for common factors is 11550.
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 = 40030194897000/(1x11550)
LCM = 40030194897000/11550
LCM = 3465817740
Thus, we can understand that the LCM of 535,902,231,665,540 is 3465817740.
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FAQs on LCM of 535, 902, 231, 665, 540
1. What is the LCM of 535, 902, 231, 665, 540?
Answer: LCM of 535, 902, 231, 665, 540 is 3465817740.
2. How to calculate the LCM of 535, 902, 231, 665, 540?
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 535, 902, 231, 665, 540.
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}.