LCM of 978, 705, 417, 965, 579
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 705, 417, 965, 579 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, 705, 417, 965, 579. So, keep reading to learn more.
Given numbers are 978,705,417,965,579
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,705,417,965,579 is 6165649410.
Find LCM of 978,705,417,965,579 with Prime Factorization
| 3 | 978, 705, 417, 965, 579 |
| 5 | 326, 235, 139, 965, 193 |
| 193 | 326, 47, 139, 193, 193 |
| 326, 47, 139, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 193 x 326 x 47 x 139 x 1 x 1 = 6165649410
Therefore, the lowest common multiple of 978,705,417,965,579 is 6165649410.
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 705 x 417 x 965 x 579 = 160645995377550
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
705 : 1, 3, 5, 15, 47, 141, 235, 705
417 : 1, 3, 139, 417
965 : 1, 5, 193, 965
579 : 1, 3, 193, 579
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,705,417,965,579, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
705:3x 5x 47
417:3x 139
965:5x 193
579:3x 193
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 5x 193 = 26055
Therefore, the value for common factors is 26055.
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 = 160645995377550/(1x26055)
LCM = 160645995377550/26055
LCM = 6165649410
Thus, we can understand that the LCM of 978,705,417,965,579 is 6165649410.
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, 705, 417, 965, 579
1. What is the LCM of 978, 705, 417, 965, 579?
Answer: LCM of 978, 705, 417, 965, 579 is 6165649410.
2. How to calculate the LCM of 978, 705, 417, 965, 579?
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, 705, 417, 965, 579.
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}.