LCM of 653, 920, 144, 232, 609
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 653, 920, 144, 232, 609 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, 920, 144, 232, 609. So, keep reading to learn more.
Given numbers are 653,920,144,232,609
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 653,920,144,232,609 is 2195177040.
Find LCM of 653,920,144,232,609 with Prime Factorization
| 2 | 653, 920, 144, 232, 609 |
| 2 | 653, 460, 72, 116, 609 |
| 2 | 653, 230, 36, 58, 609 |
| 3 | 653, 115, 18, 29, 609 |
| 29 | 653, 115, 6, 29, 203 |
| 653, 115, 6, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 29 x 653 x 115 x 6 x 1 x 7 = 2195177040
Therefore, the lowest common multiple of 653,920,144,232,609 is 2195177040.
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 920 x 144 x 232 x 609 = 12222745758720
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
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
232 : 1, 2, 4, 8, 29, 58, 116, 232
609 : 1, 3, 7, 21, 29, 87, 203, 609
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 653,920,144,232,609, is 1.
Now, the common factors can be found like this.
653:653
920:2x 2x 2x 5x 23
144:2x 2x 2x 2x 3x 3
232:2x 2x 2x 29
609:3x 7x 29
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 3x 29 = 5568
Therefore, the value for common factors is 5568.
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 = 12222745758720/(1x5568)
LCM = 12222745758720/5568
LCM = 2195177040
Thus, we can understand that the LCM of 653,920,144,232,609 is 2195177040.
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FAQs on LCM of 653, 920, 144, 232, 609
1. What is the LCM of 653, 920, 144, 232, 609?
Answer: LCM of 653, 920, 144, 232, 609 is 2195177040.
2. How to calculate the LCM of 653, 920, 144, 232, 609?
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, 920, 144, 232, 609.
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}.