LCM of 144, 561, 490, 770, 775
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 144, 561, 490, 770, 775 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 144, 561, 490, 770, 775. So, keep reading to learn more.
Given numbers are 144,561,490,770,775
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 144,561,490,770,775 is 1022590800.
Find LCM of 144,561,490,770,775 with Prime Factorization
| 2 | 144, 561, 490, 770, 775 |
| 3 | 72, 561, 245, 385, 775 |
| 5 | 24, 187, 245, 385, 775 |
| 7 | 24, 187, 49, 77, 155 |
| 11 | 24, 187, 7, 11, 155 |
| 24, 17, 7, 1, 155 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 24 x 17 x 7 x 1 x 155 = 1022590800
Therefore, the lowest common multiple of 144,561,490,770,775 is 1022590800.
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.
144 x 561 x 490 x 770 x 775 = 23621847480000
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.
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
561 : 1, 3, 11, 17, 33, 51, 187, 561
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
775 : 1, 5, 25, 31, 155, 775
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,561,490,770,775, is 1.
Now, the common factors can be found like this.
144:2x 2x 2x 2x 3x 3
561:3x 11x 17
490:2x 5x 7x 7
770:2x 5x 7x 11
775:5x 5x 31
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 3x 5x 5x 7x 11 = 23100
Therefore, the value for common factors is 23100.
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 = 23621847480000/(1x23100)
LCM = 23621847480000/23100
LCM = 1022590800
Thus, we can understand that the LCM of 144,561,490,770,775 is 1022590800.
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FAQs on LCM of 144, 561, 490, 770, 775
1. What is the LCM of 144, 561, 490, 770, 775?
Answer: LCM of 144, 561, 490, 770, 775 is 1022590800.
2. How to calculate the LCM of 144, 561, 490, 770, 775?
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 144, 561, 490, 770, 775.
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}.