LCM of 964, 306, 100, 926, 165
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 306, 100, 926, 165 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 964, 306, 100, 926, 165. So, keep reading to learn more.
Given numbers are 964,306,100,926,165
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,306,100,926,165 is 18779418900.
Find LCM of 964,306,100,926,165 with Prime Factorization
| 2 | 964, 306, 100, 926, 165 |
| 2 | 482, 153, 50, 463, 165 |
| 3 | 241, 153, 25, 463, 165 |
| 5 | 241, 51, 25, 463, 55 |
| 241, 51, 5, 463, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 241 x 51 x 5 x 463 x 11 = 18779418900
Therefore, the lowest common multiple of 964,306,100,926,165 is 18779418900.
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.
964 x 306 x 100 x 926 x 165 = 4507060536000
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.
964 : 1, 2, 4, 241, 482, 964
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
926 : 1, 2, 463, 926
165 : 1, 3, 5, 11, 15, 33, 55, 165
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,306,100,926,165, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
306:2x 3x 3x 17
100:2x 2x 5x 5
926:2x 463
165:3x 5x 11
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 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 4507060536000/(1x240)
LCM = 4507060536000/240
LCM = 18779418900
Thus, we can understand that the LCM of 964,306,100,926,165 is 18779418900.
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FAQs on LCM of 964, 306, 100, 926, 165
1. What is the LCM of 964, 306, 100, 926, 165?
Answer: LCM of 964, 306, 100, 926, 165 is 18779418900.
2. How to calculate the LCM of 964, 306, 100, 926, 165?
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 964, 306, 100, 926, 165.
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}.