LCM of 508, 519, 642, 733
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 519, 642, 733 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 508, 519, 642, 733. So, keep reading to learn more.
Given numbers are 508,519,642,733
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,519,642,733 is 20678490012.
Find LCM of 508,519,642,733 with Prime Factorization
| 2 | 508, 519, 642, 733 |
| 3 | 254, 519, 321, 733 |
| 254, 173, 107, 733 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 254 x 173 x 107 x 733 = 20678490012
Therefore, the lowest common multiple of 508,519,642,733 is 20678490012.
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.
508 x 519 x 642 x 733 = 124070940072
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.
508 : 1, 2, 4, 127, 254, 508
519 : 1, 3, 173, 519
642 : 1, 2, 3, 6, 107, 214, 321, 642
733 : 1, 733
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,519,642,733, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
519:3x 173
642:2x 3x 107
733:733
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 124070940072/(1x6)
LCM = 124070940072/6
LCM = 20678490012
Thus, we can understand that the LCM of 508,519,642,733 is 20678490012.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 508, 519, 642, 733
1. What is the LCM of 508, 519, 642, 733?
Answer: LCM of 508, 519, 642, 733 is 20678490012.
2. How to calculate the LCM of 508, 519, 642, 733?
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 508, 519, 642, 733.
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}.