LCM of 524, 484, 978, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 524, 484, 978, 214 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 524, 484, 978, 214. So, keep reading to learn more.
Given numbers are 524,484,978,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,484,978,214 is 3317487492.
Find LCM of 524,484,978,214 with Prime Factorization
| 2 | 524, 484, 978, 214 |
| 2 | 262, 242, 489, 107 |
| 131, 121, 489, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 131 x 121 x 489 x 107 = 3317487492
Therefore, the lowest common multiple of 524,484,978,214 is 3317487492.
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.
524 x 484 x 978 x 214 = 53079799872
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.
524 : 1, 2, 4, 131, 262, 524
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
978 : 1, 2, 3, 6, 163, 326, 489, 978
214 : 1, 2, 107, 214
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,484,978,214, is 2.
Now, the common factors can be found like this.
524:2x 2x 131
484:2x 2x 11x 11
978:2x 3x 163
214:2x 107
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 2 = 8
Therefore, the value for common factors is 8.
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 = 53079799872/(2x8)
LCM = 53079799872/16
LCM = 3317487492
Thus, we can understand that the LCM of 524,484,978,214 is 3317487492.
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FAQs on LCM of 524, 484, 978, 214
1. What is the LCM of 524, 484, 978, 214?
Answer: LCM of 524, 484, 978, 214 is 3317487492.
2. How to calculate the LCM of 524, 484, 978, 214?
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 524, 484, 978, 214.
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}.