LCM of 978, 836, 109, 209, 339
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 836, 109, 209, 339 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 978, 836, 109, 209, 339. So, keep reading to learn more.
Given numbers are 978,836,109,209,339
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,836,109,209,339 is 5035238868.
Find LCM of 978,836,109,209,339 with Prime Factorization
| 2 | 978, 836, 109, 209, 339 |
| 3 | 489, 418, 109, 209, 339 |
| 11 | 163, 418, 109, 209, 113 |
| 19 | 163, 38, 109, 19, 113 |
| 163, 2, 109, 1, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 163 x 2 x 109 x 1 x 113 = 5035238868
Therefore, the lowest common multiple of 978,836,109,209,339 is 5035238868.
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.
978 x 836 x 109 x 209 x 339 = 6314189540472
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.
978 : 1, 2, 3, 6, 163, 326, 489, 978
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
109 : 1, 109
209 : 1, 11, 19, 209
339 : 1, 3, 113, 339
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,836,109,209,339, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
836:2x 2x 11x 19
109:109
209:11x 19
339:3x 113
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 11x 19 = 1254
Therefore, the value for common factors is 1254.
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 = 6314189540472/(1x1254)
LCM = 6314189540472/1254
LCM = 5035238868
Thus, we can understand that the LCM of 978,836,109,209,339 is 5035238868.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 978, 836, 109, 209, 339
1. What is the LCM of 978, 836, 109, 209, 339?
Answer: LCM of 978, 836, 109, 209, 339 is 5035238868.
2. How to calculate the LCM of 978, 836, 109, 209, 339?
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 978, 836, 109, 209, 339.
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}.