LCM of 143, 144, 880, 304, 731
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 143, 144, 880, 304, 731 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 143, 144, 880, 304, 731. So, keep reading to learn more.
Given numbers are 143,144,880,304,731
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 143,144,880,304,731 is 1430011440.
Find LCM of 143,144,880,304,731 with Prime Factorization
| 2 | 143, 144, 880, 304, 731 |
| 2 | 143, 72, 440, 152, 731 |
| 2 | 143, 36, 220, 76, 731 |
| 2 | 143, 18, 110, 38, 731 |
| 11 | 143, 9, 55, 19, 731 |
| 13, 9, 5, 19, 731 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 13 x 9 x 5 x 19 x 731 = 1430011440
Therefore, the lowest common multiple of 143,144,880,304,731 is 1430011440.
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.
143 x 144 x 880 x 304 x 731 = 4026912215040
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.
143 : 1, 11, 13, 143
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
731 : 1, 17, 43, 731
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 143,144,880,304,731, is 1.
Now, the common factors can be found like this.
143:11x 13
144:2x 2x 2x 2x 3x 3
880:2x 2x 2x 2x 5x 11
304:2x 2x 2x 2x 19
731:17x 43
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 2x 2x 2x 2x 11 = 2816
Therefore, the value for common factors is 2816.
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 = 4026912215040/(1x2816)
LCM = 4026912215040/2816
LCM = 1430011440
Thus, we can understand that the LCM of 143,144,880,304,731 is 1430011440.
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FAQs on LCM of 143, 144, 880, 304, 731
1. What is the LCM of 143, 144, 880, 304, 731?
Answer: LCM of 143, 144, 880, 304, 731 is 1430011440.
2. How to calculate the LCM of 143, 144, 880, 304, 731?
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 143, 144, 880, 304, 731.
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}.