LCM of 964, 288, 528, 677
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 288, 528, 677 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, 288, 528, 677. So, keep reading to learn more.
Given numbers are 964,288,528,677
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,288,528,677 is 516881376.
Find LCM of 964,288,528,677 with Prime Factorization
| 2 | 964, 288, 528, 677 |
| 2 | 482, 144, 264, 677 |
| 2 | 241, 72, 132, 677 |
| 2 | 241, 36, 66, 677 |
| 3 | 241, 18, 33, 677 |
| 241, 6, 11, 677 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 241 x 6 x 11 x 677 = 516881376
Therefore, the lowest common multiple of 964,288,528,677 is 516881376.
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 288 x 528 x 677 = 99241224192
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
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
677 : 1, 677
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,288,528,677, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
288:2x 2x 2x 2x 2x 3x 3
528:2x 2x 2x 2x 3x 11
677:677
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 3 = 192
Therefore, the value for common factors is 192.
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 = 99241224192/(1x192)
LCM = 99241224192/192
LCM = 516881376
Thus, we can understand that the LCM of 964,288,528,677 is 516881376.
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FAQs on LCM of 964, 288, 528, 677
1. What is the LCM of 964, 288, 528, 677?
Answer: LCM of 964, 288, 528, 677 is 516881376.
2. How to calculate the LCM of 964, 288, 528, 677?
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, 288, 528, 677.
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}.