LCM of 978, 364, 325, 410, 564
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 364, 325, 410, 564 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, 364, 325, 410, 564. So, keep reading to learn more.
Given numbers are 978,364,325,410,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,364,325,410,564 is 8574957300.
Find LCM of 978,364,325,410,564 with Prime Factorization
| 2 | 978, 364, 325, 410, 564 |
| 2 | 489, 182, 325, 205, 282 |
| 3 | 489, 91, 325, 205, 141 |
| 5 | 163, 91, 325, 205, 47 |
| 13 | 163, 91, 65, 41, 47 |
| 163, 7, 5, 41, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 163 x 7 x 5 x 41 x 47 = 8574957300
Therefore, the lowest common multiple of 978,364,325,410,564 is 8574957300.
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 364 x 325 x 410 x 564 = 26753866776000
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
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
325 : 1, 5, 13, 25, 65, 325
410 : 1, 2, 5, 10, 41, 82, 205, 410
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,364,325,410,564, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
364:2x 2x 7x 13
325:5x 5x 13
410:2x 5x 41
564:2x 2x 3x 47
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 3x 5x 13 = 3120
Therefore, the value for common factors is 3120.
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 = 26753866776000/(1x3120)
LCM = 26753866776000/3120
LCM = 8574957300
Thus, we can understand that the LCM of 978,364,325,410,564 is 8574957300.
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FAQs on LCM of 978, 364, 325, 410, 564
1. What is the LCM of 978, 364, 325, 410, 564?
Answer: LCM of 978, 364, 325, 410, 564 is 8574957300.
2. How to calculate the LCM of 978, 364, 325, 410, 564?
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, 364, 325, 410, 564.
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}.