LCM of 291, 612, 363, 484, 782
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 291, 612, 363, 484, 782 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 291, 612, 363, 484, 782. So, keep reading to learn more.
Given numbers are 291,612,363,484,782
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 291,612,363,484,782 is 165210012.
Find LCM of 291,612,363,484,782 with Prime Factorization
| 2 | 291, 612, 363, 484, 782 |
| 2 | 291, 306, 363, 242, 391 |
| 3 | 291, 153, 363, 121, 391 |
| 11 | 97, 51, 121, 121, 391 |
| 11 | 97, 51, 11, 11, 391 |
| 17 | 97, 51, 1, 1, 391 |
| 97, 3, 1, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 11 x 17 x 97 x 3 x 1 x 1 x 23 = 165210012
Therefore, the lowest common multiple of 291,612,363,484,782 is 165210012.
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.
291 x 612 x 363 x 484 x 782 = 24468263617248
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.
291 : 1, 3, 97, 291
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
363 : 1, 3, 11, 33, 121, 363
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
782 : 1, 2, 17, 23, 34, 46, 391, 782
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,612,363,484,782, is 1.
Now, the common factors can be found like this.
291:3x 97
612:2x 2x 3x 3x 17
363:3x 11x 11
484:2x 2x 11x 11
782:2x 17x 23
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 3x 11x 11x 17 = 148104
Therefore, the value for common factors is 148104.
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 = 24468263617248/(1x148104)
LCM = 24468263617248/148104
LCM = 165210012
Thus, we can understand that the LCM of 291,612,363,484,782 is 165210012.
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FAQs on LCM of 291, 612, 363, 484, 782
1. What is the LCM of 291, 612, 363, 484, 782?
Answer: LCM of 291, 612, 363, 484, 782 is 165210012.
2. How to calculate the LCM of 291, 612, 363, 484, 782?
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 291, 612, 363, 484, 782.
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}.