Find the LCM of 808, 564, 576, 868, 692 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 808, 564, 576, 868, 692. So, keep reading to learn more.
Given numbers are 808,564,576,868,692
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,564,576,868,692 is 102647305152.
Find LCM of 808,564,576,868,692 with Prime Factorization
2 | 808, 564, 576, 868, 692 |
2 | 404, 282, 288, 434, 346 |
2 | 202, 141, 144, 217, 173 |
3 | 101, 141, 72, 217, 173 |
101, 47, 24, 217, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 101 x 47 x 24 x 217 x 173 = 102647305152
Therefore, the lowest common multiple of 808,564,576,868,692 is 102647305152.
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.
808 x 564 x 576 x 868 x 692 = 157666260713472
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
692 : 1, 2, 4, 173, 346, 692
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,564,576,868,692, is 4.
Now, the common factors can be found like this.
808:2x 2x 2x 101
564:2x 2x 3x 47
576:2x 2x 2x 2x 2x 2x 3x 3
868:2x 2x 7x 31
692:2x 2x 173
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 2x 3 = 384
Therefore, the value for common factors is 384.
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 = 157666260713472/(4x384)
LCM = 157666260713472/1536
LCM = 102647305152
Thus, we can understand that the LCM of 808,564,576,868,692 is 102647305152.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 808, 564, 576, 868, 692?
Answer: LCM of 808, 564, 576, 868, 692 is 102647305152.
2. How to calculate the LCM of 808, 564, 576, 868, 692?
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 808, 564, 576, 868, 692.
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}.