LCM of 508, 374, 589, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 374, 589, 342 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, 374, 589, 342. So, keep reading to learn more.
Given numbers are 508,374,589,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,374,589,342 is 503573796.
Find LCM of 508,374,589,342 with Prime Factorization
| 2 | 508, 374, 589, 342 |
| 19 | 254, 187, 589, 171 |
| 254, 187, 31, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 254 x 187 x 31 x 9 = 503573796
Therefore, the lowest common multiple of 508,374,589,342 is 503573796.
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 374 x 589 x 342 = 38271608496
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
374 : 1, 2, 11, 17, 22, 34, 187, 374
589 : 1, 19, 31, 589
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,374,589,342, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
374:2x 11x 17
589:19x 31
342:2x 3x 3x 19
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 19 = 76
Therefore, the value for common factors is 76.
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 = 38271608496/(1x76)
LCM = 38271608496/76
LCM = 503573796
Thus, we can understand that the LCM of 508,374,589,342 is 503573796.
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FAQs on LCM of 508, 374, 589, 342
1. What is the LCM of 508, 374, 589, 342?
Answer: LCM of 508, 374, 589, 342 is 503573796.
2. How to calculate the LCM of 508, 374, 589, 342?
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, 374, 589, 342.
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}.