LCM of 130, 224, 960, 827, 193
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 130, 224, 960, 827, 193 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 130, 224, 960, 827, 193. So, keep reading to learn more.
Given numbers are 130,224,960,827,193
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 130,224,960,827,193 is 13943616960.
Find LCM of 130,224,960,827,193 with Prime Factorization
| 2 | 130, 224, 960, 827, 193 |
| 2 | 65, 112, 480, 827, 193 |
| 2 | 65, 56, 240, 827, 193 |
| 2 | 65, 28, 120, 827, 193 |
| 2 | 65, 14, 60, 827, 193 |
| 5 | 65, 7, 30, 827, 193 |
| 13, 7, 6, 827, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 5 x 13 x 7 x 6 x 827 x 193 = 13943616960
Therefore, the lowest common multiple of 130,224,960,827,193 is 13943616960.
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.
130 x 224 x 960 x 827 x 193 = 4461957427200
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.
130 : 1, 2, 5, 10, 13, 26, 65, 130
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
827 : 1, 827
193 : 1, 193
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,224,960,827,193, is 1.
Now, the common factors can be found like this.
130:2x 5x 13
224:2x 2x 2x 2x 2x 7
960:2x 2x 2x 2x 2x 2x 3x 5
827:827
193:193
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 5 = 320
Therefore, the value for common factors is 320.
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 = 4461957427200/(1x320)
LCM = 4461957427200/320
LCM = 13943616960
Thus, we can understand that the LCM of 130,224,960,827,193 is 13943616960.
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FAQs on LCM of 130, 224, 960, 827, 193
1. What is the LCM of 130, 224, 960, 827, 193?
Answer: LCM of 130, 224, 960, 827, 193 is 13943616960.
2. How to calculate the LCM of 130, 224, 960, 827, 193?
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 130, 224, 960, 827, 193.
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}.