LCM of 240, 728, 822, 954, 135
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 240, 728, 822, 954, 135 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 240, 728, 822, 954, 135. So, keep reading to learn more.
Given numbers are 240,728,822,954,135
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 240,728,822,954,135 is 1427222160.
Find LCM of 240,728,822,954,135 with Prime Factorization
| 2 | 240, 728, 822, 954, 135 |
| 2 | 120, 364, 411, 477, 135 |
| 2 | 60, 182, 411, 477, 135 |
| 3 | 30, 91, 411, 477, 135 |
| 3 | 10, 91, 137, 159, 45 |
| 5 | 10, 91, 137, 53, 15 |
| 2, 91, 137, 53, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 2 x 91 x 137 x 53 x 3 = 1427222160
Therefore, the lowest common multiple of 240,728,822,954,135 is 1427222160.
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.
240 x 728 x 822 x 954 x 135 = 18496799193600
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.
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
822 : 1, 2, 3, 6, 137, 274, 411, 822
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
135 : 1, 3, 5, 9, 15, 27, 45, 135
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,728,822,954,135, is 1.
Now, the common factors can be found like this.
240:2x 2x 2x 2x 3x 5
728:2x 2x 2x 7x 13
822:2x 3x 137
954:2x 3x 3x 53
135:3x 3x 3x 5
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 3x 3x 3x 3x 5 = 12960
Therefore, the value for common factors is 12960.
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 = 18496799193600/(1x12960)
LCM = 18496799193600/12960
LCM = 1427222160
Thus, we can understand that the LCM of 240,728,822,954,135 is 1427222160.
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FAQs on LCM of 240, 728, 822, 954, 135
1. What is the LCM of 240, 728, 822, 954, 135?
Answer: LCM of 240, 728, 822, 954, 135 is 1427222160.
2. How to calculate the LCM of 240, 728, 822, 954, 135?
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 240, 728, 822, 954, 135.
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}.