LCM of 416, 780, 978, 707, 917
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 780, 978, 707, 917 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 416, 780, 978, 707, 917. So, keep reading to learn more.
Given numbers are 416,780,978,707,917
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,780,978,707,917 is 94202603040.
Find LCM of 416,780,978,707,917 with Prime Factorization
| 2 | 416, 780, 978, 707, 917 |
| 2 | 208, 390, 489, 707, 917 |
| 3 | 104, 195, 489, 707, 917 |
| 7 | 104, 65, 163, 707, 917 |
| 13 | 104, 65, 163, 101, 131 |
| 8, 5, 163, 101, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 13 x 8 x 5 x 163 x 101 x 131 = 94202603040
Therefore, the lowest common multiple of 416,780,978,707,917 is 94202603040.
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.
416 x 780 x 978 x 707 x 917 = 205738485039360
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
978 : 1, 2, 3, 6, 163, 326, 489, 978
707 : 1, 7, 101, 707
917 : 1, 7, 131, 917
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,780,978,707,917, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
780:2x 2x 3x 5x 13
978:2x 3x 163
707:7x 101
917:7x 131
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 2x 3x 7x 13 = 2184
Therefore, the value for common factors is 2184.
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 = 205738485039360/(1x2184)
LCM = 205738485039360/2184
LCM = 94202603040
Thus, we can understand that the LCM of 416,780,978,707,917 is 94202603040.
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FAQs on LCM of 416, 780, 978, 707, 917
1. What is the LCM of 416, 780, 978, 707, 917?
Answer: LCM of 416, 780, 978, 707, 917 is 94202603040.
2. How to calculate the LCM of 416, 780, 978, 707, 917?
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 416, 780, 978, 707, 917.
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}.