LCM of 677, 865, 460, 705, 576
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 677, 865, 460, 705, 576 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 677, 865, 460, 705, 576. So, keep reading to learn more.
Given numbers are 677,865,460,705,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 677,865,460,705,576 is 364630466880.
Find LCM of 677,865,460,705,576 with Prime Factorization
| 2 | 677, 865, 460, 705, 576 |
| 2 | 677, 865, 230, 705, 288 |
| 3 | 677, 865, 115, 705, 144 |
| 5 | 677, 865, 115, 235, 48 |
| 677, 173, 23, 47, 48 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 677 x 173 x 23 x 47 x 48 = 364630466880
Therefore, the lowest common multiple of 677,865,460,705,576 is 364630466880.
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.
677 x 865 x 460 x 705 x 576 = 109389140064000
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.
677 : 1, 677
865 : 1, 5, 173, 865
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
705 : 1, 3, 5, 15, 47, 141, 235, 705
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,865,460,705,576, is 1.
Now, the common factors can be found like this.
677:677
865:5x 173
460:2x 2x 5x 23
705:3x 5x 47
576:2x 2x 2x 2x 2x 2x 3x 3
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 3x 5x 5 = 300
Therefore, the value for common factors is 300.
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 = 109389140064000/(1x300)
LCM = 109389140064000/300
LCM = 364630466880
Thus, we can understand that the LCM of 677,865,460,705,576 is 364630466880.
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FAQs on LCM of 677, 865, 460, 705, 576
1. What is the LCM of 677, 865, 460, 705, 576?
Answer: LCM of 677, 865, 460, 705, 576 is 364630466880.
2. How to calculate the LCM of 677, 865, 460, 705, 576?
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 677, 865, 460, 705, 576.
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}.