LCM of 535, 799, 661, 306, 509
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 535, 799, 661, 306, 509 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, 799, 661, 306, 509. So, keep reading to learn more.
Given numbers are 535,799,661,306,509
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 535,799,661,306,509 is 2588763092130.
Find LCM of 535,799,661,306,509 with Prime Factorization
| 17 | 535, 799, 661, 306, 509 |
| 535, 47, 661, 18, 509 |
Multiply the prime numbers at the bottom and the left side.
17 x 535 x 47 x 661 x 18 x 509 = 2588763092130
Therefore, the lowest common multiple of 535,799,661,306,509 is 2588763092130.
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 799 x 661 x 306 x 509 = 44008972566210
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
799 : 1, 17, 47, 799
661 : 1, 661
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
509 : 1, 509
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,799,661,306,509, is 1.
Now, the common factors can be found like this.
535:5x 107
799:17x 47
661:661
306:2x 3x 3x 17
509:509
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 44008972566210/(1x17)
LCM = 44008972566210/17
LCM = 2588763092130
Thus, we can understand that the LCM of 535,799,661,306,509 is 2588763092130.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 535, 799, 661, 306, 509
1. What is the LCM of 535, 799, 661, 306, 509?
Answer: LCM of 535, 799, 661, 306, 509 is 2588763092130.
2. How to calculate the LCM of 535, 799, 661, 306, 509?
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, 799, 661, 306, 509.
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}.