LCM of 369, 484, 923, 780, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 369, 484, 923, 780, 984 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 369, 484, 923, 780, 984. So, keep reading to learn more.
Given numbers are 369,484,923,780,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 369,484,923,780,984 is 1648441080.
Find LCM of 369,484,923,780,984 with Prime Factorization
| 2 | 369, 484, 923, 780, 984 |
| 2 | 369, 242, 923, 390, 492 |
| 3 | 369, 121, 923, 195, 246 |
| 13 | 123, 121, 923, 65, 82 |
| 41 | 123, 121, 71, 5, 82 |
| 3, 121, 71, 5, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 41 x 3 x 121 x 71 x 5 x 2 = 1648441080
Therefore, the lowest common multiple of 369,484,923,780,984 is 1648441080.
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.
369 x 484 x 923 x 780 x 984 = 126521149772160
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.
369 : 1, 3, 9, 41, 123, 369
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
923 : 1, 13, 71, 923
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,484,923,780,984, is 1.
Now, the common factors can be found like this.
369:3x 3x 41
484:2x 2x 11x 11
923:13x 71
780:2x 2x 3x 5x 13
984:2x 2x 2x 3x 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 3x 13x 41 = 76752
Therefore, the value for common factors is 76752.
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 = 126521149772160/(1x76752)
LCM = 126521149772160/76752
LCM = 1648441080
Thus, we can understand that the LCM of 369,484,923,780,984 is 1648441080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 369, 484, 923, 780, 984
1. What is the LCM of 369, 484, 923, 780, 984?
Answer: LCM of 369, 484, 923, 780, 984 is 1648441080.
2. How to calculate the LCM of 369, 484, 923, 780, 984?
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 369, 484, 923, 780, 984.
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}.