Find the LCM of 968, 978, 341, 478, 239 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 968, 978, 341, 478, 239. So, keep reading to learn more.
Given numbers are 968,978,341,478,239
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 968,978,341,478,239 is 3507064968.
Find LCM of 968,978,341,478,239 with Prime Factorization
2 | 968, 978, 341, 478, 239 |
11 | 484, 489, 341, 239, 239 |
239 | 44, 489, 31, 239, 239 |
44, 489, 31, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 239 x 44 x 489 x 31 x 1 x 1 = 3507064968
Therefore, the lowest common multiple of 968,978,341,478,239 is 3507064968.
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.
968 x 978 x 341 x 478 x 239 = 36880295203488
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.
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
978 : 1, 2, 3, 6, 163, 326, 489, 978
341 : 1, 11, 31, 341
478 : 1, 2, 239, 478
239 : 1, 239
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,978,341,478,239, is 1.
Now, the common factors can be found like this.
968:2x 2x 2x 11x 11
978:2x 3x 163
341:11x 31
478:2x 239
239:239
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 11x 239 = 10516
Therefore, the value for common factors is 10516.
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 = 36880295203488/(1x10516)
LCM = 36880295203488/10516
LCM = 3507064968
Thus, we can understand that the LCM of 968,978,341,478,239 is 3507064968.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 968, 978, 341, 478, 239?
Answer: LCM of 968, 978, 341, 478, 239 is 3507064968.
2. How to calculate the LCM of 968, 978, 341, 478, 239?
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 968, 978, 341, 478, 239.
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}.