LCM of 513, 410, 957, 164
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 410, 957, 164 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 513, 410, 957, 164. So, keep reading to learn more.
Given numbers are 513,410,957,164
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,410,957,164 is 134190540.
Find LCM of 513,410,957,164 with Prime Factorization
| 2 | 513, 410, 957, 164 |
| 3 | 513, 205, 957, 82 |
| 41 | 171, 205, 319, 82 |
| 171, 5, 319, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 41 x 171 x 5 x 319 x 2 = 134190540
Therefore, the lowest common multiple of 513,410,957,164 is 134190540.
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.
513 x 410 x 957 x 164 = 33010872840
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
410 : 1, 2, 5, 10, 41, 82, 205, 410
957 : 1, 3, 11, 29, 33, 87, 319, 957
164 : 1, 2, 4, 41, 82, 164
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,410,957,164, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
410:2x 5x 41
957:3x 11x 29
164:2x 2x 41
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 41 = 246
Therefore, the value for common factors is 246.
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 = 33010872840/(1x246)
LCM = 33010872840/246
LCM = 134190540
Thus, we can understand that the LCM of 513,410,957,164 is 134190540.
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FAQs on LCM of 513, 410, 957, 164
1. What is the LCM of 513, 410, 957, 164?
Answer: LCM of 513, 410, 957, 164 is 134190540.
2. How to calculate the LCM of 513, 410, 957, 164?
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 513, 410, 957, 164.
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}.