LCM of 576, 464, 971, 145, 731
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 576, 464, 971, 145, 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 576, 464, 971, 145, 731. So, keep reading to learn more.
Given numbers are 576,464,971,145,731
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 576,464,971,145,731 is 59282579520.
Find LCM of 576,464,971,145,731 with Prime Factorization
| 2 | 576, 464, 971, 145, 731 |
| 2 | 288, 232, 971, 145, 731 |
| 2 | 144, 116, 971, 145, 731 |
| 2 | 72, 58, 971, 145, 731 |
| 29 | 36, 29, 971, 145, 731 |
| 36, 1, 971, 5, 731 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 29 x 36 x 1 x 971 x 5 x 731 = 59282579520
Therefore, the lowest common multiple of 576,464,971,145,731 is 59282579520.
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.
576 x 464 x 971 x 145 x 731 = 27507116897280
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.
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
971 : 1, 971
145 : 1, 5, 29, 145
731 : 1, 17, 43, 731
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,464,971,145,731, is 1.
Now, the common factors can be found like this.
576:2x 2x 2x 2x 2x 2x 3x 3
464:2x 2x 2x 2x 29
971:971
145:5x 29
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 29 = 464
Therefore, the value for common factors is 464.
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 = 27507116897280/(1x464)
LCM = 27507116897280/464
LCM = 59282579520
Thus, we can understand that the LCM of 576,464,971,145,731 is 59282579520.
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FAQs on LCM of 576, 464, 971, 145, 731
1. What is the LCM of 576, 464, 971, 145, 731?
Answer: LCM of 576, 464, 971, 145, 731 is 59282579520.
2. How to calculate the LCM of 576, 464, 971, 145, 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 576, 464, 971, 145, 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}.