LCM of 563, 120, 190, 924, 655
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 563, 120, 190, 924, 655 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 563, 120, 190, 924, 655. So, keep reading to learn more.
Given numbers are 563,120,190,924,655
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 563,120,190,924,655 is 12948076680.
Find LCM of 563,120,190,924,655 with Prime Factorization
| 2 | 563, 120, 190, 924, 655 |
| 2 | 563, 60, 95, 462, 655 |
| 3 | 563, 30, 95, 231, 655 |
| 5 | 563, 10, 95, 77, 655 |
| 563, 2, 19, 77, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 563 x 2 x 19 x 77 x 131 = 12948076680
Therefore, the lowest common multiple of 563,120,190,924,655 is 12948076680.
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.
563 x 120 x 190 x 924 x 655 = 7768846008000
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.
563 : 1, 563
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
190 : 1, 2, 5, 10, 19, 38, 95, 190
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
655 : 1, 5, 131, 655
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,120,190,924,655, is 1.
Now, the common factors can be found like this.
563:563
120:2x 2x 2x 3x 5
190:2x 5x 19
924:2x 2x 3x 7x 11
655:5x 131
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 3x 5x 5 = 600
Therefore, the value for common factors is 600.
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 = 7768846008000/(1x600)
LCM = 7768846008000/600
LCM = 12948076680
Thus, we can understand that the LCM of 563,120,190,924,655 is 12948076680.
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FAQs on LCM of 563, 120, 190, 924, 655
1. What is the LCM of 563, 120, 190, 924, 655?
Answer: LCM of 563, 120, 190, 924, 655 is 12948076680.
2. How to calculate the LCM of 563, 120, 190, 924, 655?
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 563, 120, 190, 924, 655.
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}.