LCM of 511, 786, 145, 168, 959
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 511, 786, 145, 168, 959 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 511, 786, 145, 168, 959. So, keep reading to learn more.
Given numbers are 511,786,145,168,959
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 511,786,145,168,959 is 31914791160.
Find LCM of 511,786,145,168,959 with Prime Factorization
| 2 | 511, 786, 145, 168, 959 |
| 3 | 511, 393, 145, 84, 959 |
| 7 | 511, 131, 145, 28, 959 |
| 73, 131, 145, 4, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 73 x 131 x 145 x 4 x 137 = 31914791160
Therefore, the lowest common multiple of 511,786,145,168,959 is 31914791160.
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.
511 x 786 x 145 x 168 x 959 = 9382948601040
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.
511 : 1, 7, 73, 511
786 : 1, 2, 3, 6, 131, 262, 393, 786
145 : 1, 5, 29, 145
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
959 : 1, 7, 137, 959
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 511,786,145,168,959, is 1.
Now, the common factors can be found like this.
511:7x 73
786:2x 3x 131
145:5x 29
168:2x 2x 2x 3x 7
959:7x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 7 = 294
Therefore, the value for common factors is 294.
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 = 9382948601040/(1x294)
LCM = 9382948601040/294
LCM = 31914791160
Thus, we can understand that the LCM of 511,786,145,168,959 is 31914791160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 511, 786, 145, 168, 959
1. What is the LCM of 511, 786, 145, 168, 959?
Answer: LCM of 511, 786, 145, 168, 959 is 31914791160.
2. How to calculate the LCM of 511, 786, 145, 168, 959?
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 511, 786, 145, 168, 959.
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}.