LCM of 509, 628, 480, 144, 158
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 509, 628, 480, 144, 158 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 509, 628, 480, 144, 158. So, keep reading to learn more.
Given numbers are 509,628,480,144,158
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 509,628,480,144,158 is 9090902880.
Find LCM of 509,628,480,144,158 with Prime Factorization
| 2 | 509, 628, 480, 144, 158 |
| 2 | 509, 314, 240, 72, 79 |
| 2 | 509, 157, 120, 36, 79 |
| 2 | 509, 157, 60, 18, 79 |
| 3 | 509, 157, 30, 9, 79 |
| 509, 157, 10, 3, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 509 x 157 x 10 x 3 x 79 = 9090902880
Therefore, the lowest common multiple of 509,628,480,144,158 is 9090902880.
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.
509 x 628 x 480 x 144 x 158 = 3490906705920
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.
509 : 1, 509
628 : 1, 2, 4, 157, 314, 628
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
158 : 1, 2, 79, 158
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,628,480,144,158, is 1.
Now, the common factors can be found like this.
509:509
628:2x 2x 157
480:2x 2x 2x 2x 2x 3x 5
144:2x 2x 2x 2x 3x 3
158:2x 79
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 2x 3 = 384
Therefore, the value for common factors is 384.
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 = 3490906705920/(1x384)
LCM = 3490906705920/384
LCM = 9090902880
Thus, we can understand that the LCM of 509,628,480,144,158 is 9090902880.
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FAQs on LCM of 509, 628, 480, 144, 158
1. What is the LCM of 509, 628, 480, 144, 158?
Answer: LCM of 509, 628, 480, 144, 158 is 9090902880.
2. How to calculate the LCM of 509, 628, 480, 144, 158?
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 509, 628, 480, 144, 158.
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}.