LCM of 144, 385, 565, 805
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 144, 385, 565, 805 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, 385, 565, 805. So, keep reading to learn more.
Given numbers are 144,385,565,805
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 144,385,565,805 is 144088560.
Find LCM of 144,385,565,805 with Prime Factorization
| 5 | 144, 385, 565, 805 |
| 7 | 144, 77, 113, 161 |
| 144, 11, 113, 23 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 144 x 11 x 113 x 23 = 144088560
Therefore, the lowest common multiple of 144,385,565,805 is 144088560.
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 385 x 565 x 805 = 25215498000
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
385 : 1, 5, 7, 11, 35, 55, 77, 385
565 : 1, 5, 113, 565
805 : 1, 5, 7, 23, 35, 115, 161, 805
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,385,565,805, is 1.
Now, the common factors can be found like this.
144:2x 2x 2x 2x 3x 3
385:5x 7x 11
565:5x 113
805:5x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 7 = 175
Therefore, the value for common factors is 175.
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 = 25215498000/(1x175)
LCM = 25215498000/175
LCM = 144088560
Thus, we can understand that the LCM of 144,385,565,805 is 144088560.
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FAQs on LCM of 144, 385, 565, 805
1. What is the LCM of 144, 385, 565, 805?
Answer: LCM of 144, 385, 565, 805 is 144088560.
2. How to calculate the LCM of 144, 385, 565, 805?
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, 385, 565, 805.
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}.