LCM of 205, 145, 926, 132, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 205, 145, 926, 132, 957 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 205, 145, 926, 132, 957. So, keep reading to learn more.
Given numbers are 205,145,926,132,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 205,145,926,132,957 is 363334620.
Find LCM of 205,145,926,132,957 with Prime Factorization
| 2 | 205, 145, 926, 132, 957 |
| 3 | 205, 145, 463, 66, 957 |
| 5 | 205, 145, 463, 22, 319 |
| 11 | 41, 29, 463, 22, 319 |
| 29 | 41, 29, 463, 2, 29 |
| 41, 1, 463, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 29 x 41 x 1 x 463 x 2 x 1 = 363334620
Therefore, the lowest common multiple of 205,145,926,132,957 is 363334620.
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.
205 x 145 x 926 x 132 x 957 = 3477112313400
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.
205 : 1, 5, 41, 205
145 : 1, 5, 29, 145
926 : 1, 2, 463, 926
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,145,926,132,957, is 1.
Now, the common factors can be found like this.
205:5x 41
145:5x 29
926:2x 463
132:2x 2x 3x 11
957:3x 11x 29
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 5x 11x 29 = 9570
Therefore, the value for common factors is 9570.
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 = 3477112313400/(1x9570)
LCM = 3477112313400/9570
LCM = 363334620
Thus, we can understand that the LCM of 205,145,926,132,957 is 363334620.
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FAQs on LCM of 205, 145, 926, 132, 957
1. What is the LCM of 205, 145, 926, 132, 957?
Answer: LCM of 205, 145, 926, 132, 957 is 363334620.
2. How to calculate the LCM of 205, 145, 926, 132, 957?
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 205, 145, 926, 132, 957.
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}.