LCM of 653, 108, 240, 591, 649
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 653, 108, 240, 591, 649 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 653, 108, 240, 591, 649. So, keep reading to learn more.
Given numbers are 653,108,240,591,649
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 653,108,240,591,649 is 180334099440.
Find LCM of 653,108,240,591,649 with Prime Factorization
| 2 | 653, 108, 240, 591, 649 |
| 2 | 653, 54, 120, 591, 649 |
| 3 | 653, 27, 60, 591, 649 |
| 653, 9, 20, 197, 649 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 653 x 9 x 20 x 197 x 649 = 180334099440
Therefore, the lowest common multiple of 653,108,240,591,649 is 180334099440.
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.
653 x 108 x 240 x 591 x 649 = 6492027579840
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.
653 : 1, 653
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
591 : 1, 3, 197, 591
649 : 1, 11, 59, 649
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 653,108,240,591,649, is 1.
Now, the common factors can be found like this.
653:653
108:2x 2x 3x 3x 3
240:2x 2x 2x 2x 3x 5
591:3x 197
649:11x 59
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 6492027579840/(1x36)
LCM = 6492027579840/36
LCM = 180334099440
Thus, we can understand that the LCM of 653,108,240,591,649 is 180334099440.
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FAQs on LCM of 653, 108, 240, 591, 649
1. What is the LCM of 653, 108, 240, 591, 649?
Answer: LCM of 653, 108, 240, 591, 649 is 180334099440.
2. How to calculate the LCM of 653, 108, 240, 591, 649?
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 653, 108, 240, 591, 649.
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}.