LCM of 464, 300, 250, 655, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 464, 300, 250, 655, 144 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 464, 300, 250, 655, 144. So, keep reading to learn more.
Given numbers are 464,300,250,655,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 464,300,250,655,144 is 68382000.
Find LCM of 464,300,250,655,144 with Prime Factorization
| 2 | 464, 300, 250, 655, 144 |
| 2 | 232, 150, 125, 655, 72 |
| 2 | 116, 75, 125, 655, 36 |
| 2 | 58, 75, 125, 655, 18 |
| 3 | 29, 75, 125, 655, 9 |
| 5 | 29, 25, 125, 655, 3 |
| 5 | 29, 5, 25, 131, 3 |
| 29, 1, 5, 131, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 5 x 29 x 1 x 5 x 131 x 3 = 68382000
Therefore, the lowest common multiple of 464,300,250,655,144 is 68382000.
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.
464 x 300 x 250 x 655 x 144 = 3282336000000
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.
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
250 : 1, 2, 5, 10, 25, 50, 125, 250
655 : 1, 5, 131, 655
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,300,250,655,144, is 1.
Now, the common factors can be found like this.
464:2x 2x 2x 2x 29
300:2x 2x 3x 5x 5
250:2x 5x 5x 5
655:5x 131
144:2x 2x 2x 2x 3x 3
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 3x 5x 5x 5 = 48000
Therefore, the value for common factors is 48000.
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 = 3282336000000/(1x48000)
LCM = 3282336000000/48000
LCM = 68382000
Thus, we can understand that the LCM of 464,300,250,655,144 is 68382000.
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FAQs on LCM of 464, 300, 250, 655, 144
1. What is the LCM of 464, 300, 250, 655, 144?
Answer: LCM of 464, 300, 250, 655, 144 is 68382000.
2. How to calculate the LCM of 464, 300, 250, 655, 144?
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 464, 300, 250, 655, 144.
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}.