LCM of 153, 720, 900, 852, 645
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 153, 720, 900, 852, 645 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 153, 720, 900, 852, 645. So, keep reading to learn more.
Given numbers are 153,720,900,852,645
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 153,720,900,852,645 is 186843600.
Find LCM of 153,720,900,852,645 with Prime Factorization
| 2 | 153, 720, 900, 852, 645 |
| 2 | 153, 360, 450, 426, 645 |
| 3 | 153, 180, 225, 213, 645 |
| 3 | 51, 60, 75, 71, 215 |
| 5 | 17, 20, 25, 71, 215 |
| 17, 4, 5, 71, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 17 x 4 x 5 x 71 x 43 = 186843600
Therefore, the lowest common multiple of 153,720,900,852,645 is 186843600.
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.
153 x 720 x 900 x 852 x 645 = 54483593760000
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.
153 : 1, 3, 9, 17, 51, 153
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
645 : 1, 3, 5, 15, 43, 129, 215, 645
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,720,900,852,645, is 3.
Now, the common factors can be found like this.
153:3x 3x 17
720:2x 2x 2x 2x 3x 3x 5
900:2x 2x 3x 3x 5x 5
852:2x 2x 3x 71
645:3x 5x 43
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 3x 3x 3x 3x 3x 5x 5 = 97200
Therefore, the value for common factors is 97200.
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 = 54483593760000/(3x97200)
LCM = 54483593760000/291600
LCM = 186843600
Thus, we can understand that the LCM of 153,720,900,852,645 is 186843600.
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FAQs on LCM of 153, 720, 900, 852, 645
1. What is the LCM of 153, 720, 900, 852, 645?
Answer: LCM of 153, 720, 900, 852, 645 is 186843600.
2. How to calculate the LCM of 153, 720, 900, 852, 645?
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 153, 720, 900, 852, 645.
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}.