Find the LCM of 508, 519, 346, 327, 241 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, 346, 327, 241. So, keep reading to learn more.
Given numbers are 508,519,346,327,241
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,519,346,327,241 is 6925874388.
Find LCM of 508,519,346,327,241 with Prime Factorization
2 | 508, 519, 346, 327, 241 |
3 | 254, 519, 173, 327, 241 |
173 | 254, 173, 173, 109, 241 |
254, 1, 1, 109, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 173 x 254 x 1 x 1 x 109 x 241 = 6925874388
Therefore, the lowest common multiple of 508,519,346,327,241 is 6925874388.
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 346 x 327 x 241 = 7189057614744
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
346 : 1, 2, 173, 346
327 : 1, 3, 109, 327
241 : 1, 241
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,519,346,327,241, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
519:3x 173
346:2x 173
327:3x 109
241:241
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 173 = 1038
Therefore, the value for common factors is 1038.
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 = 7189057614744/(1x1038)
LCM = 7189057614744/1038
LCM = 6925874388
Thus, we can understand that the LCM of 508,519,346,327,241 is 6925874388.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 508, 519, 346, 327, 241?
Answer: LCM of 508, 519, 346, 327, 241 is 6925874388.
2. How to calculate the LCM of 508, 519, 346, 327, 241?
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, 346, 327, 241.
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}.