LCM of 978, 891, 693, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 891, 693, 209 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, 891, 693, 209. So, keep reading to learn more.
Given numbers are 978,891,693,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,891,693,209 is 38631978.
Find LCM of 978,891,693,209 with Prime Factorization
| 3 | 978, 891, 693, 209 |
| 3 | 326, 297, 231, 209 |
| 11 | 326, 99, 77, 209 |
| 326, 9, 7, 19 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 11 x 326 x 9 x 7 x 19 = 38631978
Therefore, the lowest common multiple of 978,891,693,209 is 38631978.
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 891 x 693 x 209 = 126210672126
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
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,891,693,209, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
891:3x 3x 3x 3x 11
693:3x 3x 7x 11
209:11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 11x 11 = 3267
Therefore, the value for common factors is 3267.
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 = 126210672126/(1x3267)
LCM = 126210672126/3267
LCM = 38631978
Thus, we can understand that the LCM of 978,891,693,209 is 38631978.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 978, 891, 693, 209
1. What is the LCM of 978, 891, 693, 209?
Answer: LCM of 978, 891, 693, 209 is 38631978.
2. How to calculate the LCM of 978, 891, 693, 209?
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, 891, 693, 209.
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}.