LCM of 484, 989, 690, 242, 920
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 989, 690, 242, 920 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 484, 989, 690, 242, 920. So, keep reading to learn more.
Given numbers are 484,989,690,242,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,989,690,242,920 is 14360280.
Find LCM of 484,989,690,242,920 with Prime Factorization
| 2 | 484, 989, 690, 242, 920 |
| 2 | 242, 989, 345, 121, 460 |
| 5 | 121, 989, 345, 121, 230 |
| 11 | 121, 989, 69, 121, 46 |
| 11 | 11, 989, 69, 11, 46 |
| 23 | 1, 989, 69, 1, 46 |
| 1, 43, 3, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 11 x 23 x 1 x 43 x 3 x 1 x 2 = 14360280
Therefore, the lowest common multiple of 484,989,690,242,920 is 14360280.
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.
484 x 989 x 690 x 242 x 920 = 73534973001600
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
989 : 1, 23, 43, 989
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
242 : 1, 2, 11, 22, 121, 242
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,989,690,242,920, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
989:23x 43
690:2x 3x 5x 23
242:2x 11x 11
920:2x 2x 2x 5x 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 2x 5x 11x 11x 23x 23 = 5120720
Therefore, the value for common factors is 5120720.
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 = 73534973001600/(1x5120720)
LCM = 73534973001600/5120720
LCM = 14360280
Thus, we can understand that the LCM of 484,989,690,242,920 is 14360280.
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FAQs on LCM of 484, 989, 690, 242, 920
1. What is the LCM of 484, 989, 690, 242, 920?
Answer: LCM of 484, 989, 690, 242, 920 is 14360280.
2. How to calculate the LCM of 484, 989, 690, 242, 920?
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 484, 989, 690, 242, 920.
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}.