Find the LCM of 567, 240, 668, 231, 840 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 567, 240, 668, 231, 840. So, keep reading to learn more.
Given numbers are 567,240,668,231,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,240,668,231,840 is 83326320.
Find LCM of 567,240,668,231,840 with Prime Factorization
2 | 567, 240, 668, 231, 840 |
2 | 567, 120, 334, 231, 420 |
2 | 567, 60, 167, 231, 210 |
3 | 567, 30, 167, 231, 105 |
5 | 189, 10, 167, 77, 35 |
7 | 189, 2, 167, 77, 7 |
27, 2, 167, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 27 x 2 x 167 x 11 x 1 = 83326320
Therefore, the lowest common multiple of 567,240,668,231,840 is 83326320.
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.
567 x 240 x 668 x 231 x 840 = 17638515417600
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
668 : 1, 2, 4, 167, 334, 668
231 : 1, 3, 7, 11, 21, 33, 77, 231
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,240,668,231,840, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
240:2x 2x 2x 2x 3x 5
668:2x 2x 167
231:3x 7x 11
840:2x 2x 2x 3x 5x 7
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 3x 3x 3x 5x 7x 7 = 211680
Therefore, the value for common factors is 211680.
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 = 17638515417600/(1x211680)
LCM = 17638515417600/211680
LCM = 83326320
Thus, we can understand that the LCM of 567,240,668,231,840 is 83326320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 567, 240, 668, 231, 840?
Answer: LCM of 567, 240, 668, 231, 840 is 83326320.
2. How to calculate the LCM of 567, 240, 668, 231, 840?
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 567, 240, 668, 231, 840.
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}.