LCM of 568, 134, 660, 355, 722
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 568, 134, 660, 355, 722 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 568, 134, 660, 355, 722. So, keep reading to learn more.
Given numbers are 568,134,660,355,722
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 568,134,660,355,722 is 2266805640.
Find LCM of 568,134,660,355,722 with Prime Factorization
| 2 | 568, 134, 660, 355, 722 |
| 2 | 284, 67, 330, 355, 361 |
| 5 | 142, 67, 165, 355, 361 |
| 71 | 142, 67, 33, 71, 361 |
| 2, 67, 33, 1, 361 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 71 x 2 x 67 x 33 x 1 x 361 = 2266805640
Therefore, the lowest common multiple of 568,134,660,355,722 is 2266805640.
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.
568 x 134 x 660 x 355 x 722 = 12875456035200
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.
568 : 1, 2, 4, 8, 71, 142, 284, 568
134 : 1, 2, 67, 134
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
355 : 1, 5, 71, 355
722 : 1, 2, 19, 38, 361, 722
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,134,660,355,722, is 1.
Now, the common factors can be found like this.
568:2x 2x 2x 71
134:2x 67
660:2x 2x 3x 5x 11
355:5x 71
722:2x 19x 19
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 5x 71 = 5680
Therefore, the value for common factors is 5680.
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 = 12875456035200/(1x5680)
LCM = 12875456035200/5680
LCM = 2266805640
Thus, we can understand that the LCM of 568,134,660,355,722 is 2266805640.
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FAQs on LCM of 568, 134, 660, 355, 722
1. What is the LCM of 568, 134, 660, 355, 722?
Answer: LCM of 568, 134, 660, 355, 722 is 2266805640.
2. How to calculate the LCM of 568, 134, 660, 355, 722?
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 568, 134, 660, 355, 722.
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}.