LCM of 978, 682, 915, 802
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 682, 915, 802 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, 682, 915, 802. So, keep reading to learn more.
Given numbers are 978,682,915,802
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,682,915,802 is 40788472890.
Find LCM of 978,682,915,802 with Prime Factorization
| 2 | 978, 682, 915, 802 |
| 3 | 489, 341, 915, 401 |
| 163, 341, 305, 401 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 163 x 341 x 305 x 401 = 40788472890
Therefore, the lowest common multiple of 978,682,915,802 is 40788472890.
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 682 x 915 x 802 = 489461674680
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
682 : 1, 2, 11, 22, 31, 62, 341, 682
915 : 1, 3, 5, 15, 61, 183, 305, 915
802 : 1, 2, 401, 802
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,682,915,802, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
682:2x 11x 31
915:3x 5x 61
802:2x 401
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 3 = 12
Therefore, the value for common factors is 12.
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 = 489461674680/(1x12)
LCM = 489461674680/12
LCM = 40788472890
Thus, we can understand that the LCM of 978,682,915,802 is 40788472890.
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FAQs on LCM of 978, 682, 915, 802
1. What is the LCM of 978, 682, 915, 802?
Answer: LCM of 978, 682, 915, 802 is 40788472890.
2. How to calculate the LCM of 978, 682, 915, 802?
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, 682, 915, 802.
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}.