LCM of 909, 720, 492, 240
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 909, 720, 492, 240 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 909, 720, 492, 240. So, keep reading to learn more.
Given numbers are 909,720,492,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,720,492,240 is 2981520.
Find LCM of 909,720,492,240 with Prime Factorization
| 2 | 909, 720, 492, 240 |
| 2 | 909, 360, 246, 120 |
| 2 | 909, 180, 123, 60 |
| 2 | 909, 90, 123, 30 |
| 3 | 909, 45, 123, 15 |
| 3 | 303, 5, 41, 15 |
| 5 | 101, 5, 41, 5 |
| 101, 1, 41, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 5 x 101 x 1 x 41 x 1 = 2981520
Therefore, the lowest common multiple of 909,720,492,240 is 2981520.
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.
909 x 720 x 492 x 240 = 77280998400
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.
909 : 1, 3, 9, 101, 303, 909
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
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,720,492,240, is 3.
Now, the common factors can be found like this.
909:3x 3x 101
720:2x 2x 2x 2x 3x 3x 5
492:2x 2x 3x 41
240:2x 2x 2x 2x 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 2x 3x 3x 3x 5 = 8640
Therefore, the value for common factors is 8640.
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 = 77280998400/(3x8640)
LCM = 77280998400/25920
LCM = 2981520
Thus, we can understand that the LCM of 909,720,492,240 is 2981520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 909, 720, 492, 240
1. What is the LCM of 909, 720, 492, 240?
Answer: LCM of 909, 720, 492, 240 is 2981520.
2. How to calculate the LCM of 909, 720, 492, 240?
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 909, 720, 492, 240.
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}.