LCM of 978, 502, 260, 560, 260
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 502, 260, 560, 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 978, 502, 260, 560, 260. So, keep reading to learn more.
Given numbers are 978,502,260,560,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,502,260,560,260 is 893539920.
Find LCM of 978,502,260,560,260 with Prime Factorization
| 2 | 978, 502, 260, 560, 260 |
| 2 | 489, 251, 130, 280, 130 |
| 5 | 489, 251, 65, 140, 65 |
| 13 | 489, 251, 13, 28, 13 |
| 489, 251, 1, 28, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 489 x 251 x 1 x 28 x 1 = 893539920
Therefore, the lowest common multiple of 978,502,260,560,260 is 893539920.
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 502 x 260 x 560 x 260 = 18585630336000
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
502 : 1, 2, 251, 502
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,502,260,560,260, is 2.
Now, the common factors can be found like this.
978:2x 3x 163
502:2x 251
260:2x 2x 5x 13
560:2x 2x 2x 2x 5x 7
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 2x 2x 5x 5x 13 = 10400
Therefore, the value for common factors is 10400.
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 = 18585630336000/(2x10400)
LCM = 18585630336000/20800
LCM = 893539920
Thus, we can understand that the LCM of 978,502,260,560,260 is 893539920.
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FAQs on LCM of 978, 502, 260, 560, 260
1. What is the LCM of 978, 502, 260, 560, 260?
Answer: LCM of 978, 502, 260, 560, 260 is 893539920.
2. How to calculate the LCM of 978, 502, 260, 560, 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 978, 502, 260, 560, 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}.