LCM of 818, 552, 528, 237, 779
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 818, 552, 528, 237, 779 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 818, 552, 528, 237, 779. So, keep reading to learn more.
Given numbers are 818,552,528,237,779
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 818,552,528,237,779 is 305667746736.
Find LCM of 818,552,528,237,779 with Prime Factorization
| 2 | 818, 552, 528, 237, 779 |
| 2 | 409, 276, 264, 237, 779 |
| 2 | 409, 138, 132, 237, 779 |
| 3 | 409, 69, 66, 237, 779 |
| 409, 23, 22, 79, 779 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 409 x 23 x 22 x 79 x 779 = 305667746736
Therefore, the lowest common multiple of 818,552,528,237,779 is 305667746736.
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.
818 x 552 x 528 x 237 x 779 = 44016155529984
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.
818 : 1, 2, 409, 818
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
237 : 1, 3, 79, 237
779 : 1, 19, 41, 779
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,552,528,237,779, is 1.
Now, the common factors can be found like this.
818:2x 409
552:2x 2x 2x 3x 23
528:2x 2x 2x 2x 3x 11
237:3x 79
779:19x 41
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 3 = 144
Therefore, the value for common factors is 144.
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 = 44016155529984/(1x144)
LCM = 44016155529984/144
LCM = 305667746736
Thus, we can understand that the LCM of 818,552,528,237,779 is 305667746736.
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FAQs on LCM of 818, 552, 528, 237, 779
1. What is the LCM of 818, 552, 528, 237, 779?
Answer: LCM of 818, 552, 528, 237, 779 is 305667746736.
2. How to calculate the LCM of 818, 552, 528, 237, 779?
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 818, 552, 528, 237, 779.
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}.