LCM of 964, 936, 164, 517, 132
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 936, 164, 517, 132 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, 936, 164, 517, 132. So, keep reading to learn more.
Given numbers are 964,936,164,517,132
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,936,164,517,132 is 4781534472.
Find LCM of 964,936,164,517,132 with Prime Factorization
| 2 | 964, 936, 164, 517, 132 |
| 2 | 482, 468, 82, 517, 66 |
| 3 | 241, 234, 41, 517, 33 |
| 11 | 241, 78, 41, 517, 11 |
| 241, 78, 41, 47, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 241 x 78 x 41 x 47 x 1 = 4781534472
Therefore, the lowest common multiple of 964,936,164,517,132 is 4781534472.
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 936 x 164 x 517 x 132 = 10098600804864
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
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
164 : 1, 2, 4, 41, 82, 164
517 : 1, 11, 47, 517
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,936,164,517,132, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
936:2x 2x 2x 3x 3x 13
164:2x 2x 41
517:11x 47
132:2x 2x 3x 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 2x 2x 3x 11 = 2112
Therefore, the value for common factors is 2112.
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 = 10098600804864/(1x2112)
LCM = 10098600804864/2112
LCM = 4781534472
Thus, we can understand that the LCM of 964,936,164,517,132 is 4781534472.
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FAQs on LCM of 964, 936, 164, 517, 132
1. What is the LCM of 964, 936, 164, 517, 132?
Answer: LCM of 964, 936, 164, 517, 132 is 4781534472.
2. How to calculate the LCM of 964, 936, 164, 517, 132?
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, 936, 164, 517, 132.
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}.