LCM of 770, 578, 717, 978, 260
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 578, 717, 978, 260 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 770, 578, 717, 978, 260. So, keep reading to learn more.
Given numbers are 770,578,717,978,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,578,717,978,260 is 676189894380.
Find LCM of 770,578,717,978,260 with Prime Factorization
| 2 | 770, 578, 717, 978, 260 |
| 3 | 385, 289, 717, 489, 130 |
| 5 | 385, 289, 239, 163, 130 |
| 77, 289, 239, 163, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 77 x 289 x 239 x 163 x 26 = 676189894380
Therefore, the lowest common multiple of 770,578,717,978,260 is 676189894380.
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.
770 x 578 x 717 x 978 x 260 = 81142787325600
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
578 : 1, 2, 17, 34, 289, 578
717 : 1, 3, 239, 717
978 : 1, 2, 3, 6, 163, 326, 489, 978
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,578,717,978,260, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
578:2x 17x 17
717:3x 239
978:2x 3x 163
260:2x 2x 5x 13
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 5 = 120
Therefore, the value for common factors is 120.
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 = 81142787325600/(1x120)
LCM = 81142787325600/120
LCM = 676189894380
Thus, we can understand that the LCM of 770,578,717,978,260 is 676189894380.
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FAQs on LCM of 770, 578, 717, 978, 260
1. What is the LCM of 770, 578, 717, 978, 260?
Answer: LCM of 770, 578, 717, 978, 260 is 676189894380.
2. How to calculate the LCM of 770, 578, 717, 978, 260?
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 770, 578, 717, 978, 260.
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}.