LCM of 535, 513, 909, 715, 595
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 535, 513, 909, 715, 595 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, 513, 909, 715, 595. So, keep reading to learn more.
Given numbers are 535,513,909,715,595
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 535,513,909,715,595 is 471710474235.
Find LCM of 535,513,909,715,595 with Prime Factorization
| 3 | 535, 513, 909, 715, 595 |
| 3 | 535, 171, 303, 715, 595 |
| 5 | 535, 57, 101, 715, 595 |
| 107, 57, 101, 143, 119 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 107 x 57 x 101 x 143 x 119 = 471710474235
Therefore, the lowest common multiple of 535,513,909,715,595 is 471710474235.
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 513 x 909 x 715 x 595 = 106134856702875
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
513 : 1, 3, 9, 19, 27, 57, 171, 513
909 : 1, 3, 9, 101, 303, 909
715 : 1, 5, 11, 13, 55, 65, 143, 715
595 : 1, 5, 7, 17, 35, 85, 119, 595
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,513,909,715,595, is 1.
Now, the common factors can be found like this.
535:5x 107
513:3x 3x 3x 19
909:3x 3x 101
715:5x 11x 13
595:5x 7x 17
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 5x 5 = 225
Therefore, the value for common factors is 225.
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 = 106134856702875/(1x225)
LCM = 106134856702875/225
LCM = 471710474235
Thus, we can understand that the LCM of 535,513,909,715,595 is 471710474235.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 535, 513, 909, 715, 595
1. What is the LCM of 535, 513, 909, 715, 595?
Answer: LCM of 535, 513, 909, 715, 595 is 471710474235.
2. How to calculate the LCM of 535, 513, 909, 715, 595?
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, 513, 909, 715, 595.
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}.