Find the LCM of 779, 170, 559, 340, 978 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 779, 170, 559, 340, 978. So, keep reading to learn more.
Given numbers are 779,170,559,340,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,170,559,340,978 is 72399745860.
Find LCM of 779,170,559,340,978 with Prime Factorization
2 | 779, 170, 559, 340, 978 |
5 | 779, 85, 559, 170, 489 |
17 | 779, 17, 559, 34, 489 |
779, 1, 559, 2, 489 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 779 x 1 x 559 x 2 x 489 = 72399745860
Therefore, the lowest common multiple of 779,170,559,340,978 is 72399745860.
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.
779 x 170 x 559 x 340 x 978 = 24615913592400
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.
779 : 1, 19, 41, 779
170 : 1, 2, 5, 10, 17, 34, 85, 170
559 : 1, 13, 43, 559
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,170,559,340,978, is 1.
Now, the common factors can be found like this.
779:19x 41
170:2x 5x 17
559:13x 43
340:2x 2x 5x 17
978:2x 3x 163
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 5x 17 = 340
Therefore, the value for common factors is 340.
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 = 24615913592400/(1x340)
LCM = 24615913592400/340
LCM = 72399745860
Thus, we can understand that the LCM of 779,170,559,340,978 is 72399745860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 779, 170, 559, 340, 978?
Answer: LCM of 779, 170, 559, 340, 978 is 72399745860.
2. How to calculate the LCM of 779, 170, 559, 340, 978?
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 779, 170, 559, 340, 978.
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}.