LCM of 565, 741, 722, 626
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 741, 722, 626 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 565, 741, 722, 626. So, keep reading to learn more.
Given numbers are 565,741,722,626
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,741,722,626 is 4979601510.
Find LCM of 565,741,722,626 with Prime Factorization
| 2 | 565, 741, 722, 626 |
| 19 | 565, 741, 361, 313 |
| 565, 39, 19, 313 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 565 x 39 x 19 x 313 = 4979601510
Therefore, the lowest common multiple of 565,741,722,626 is 4979601510.
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.
565 x 741 x 722 x 626 = 189224857380
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.
565 : 1, 5, 113, 565
741 : 1, 3, 13, 19, 39, 57, 247, 741
722 : 1, 2, 19, 38, 361, 722
626 : 1, 2, 313, 626
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,741,722,626, is 1.
Now, the common factors can be found like this.
565:5x 113
741:3x 13x 19
722:2x 19x 19
626:2x 313
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19 = 38
Therefore, the value for common factors is 38.
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 = 189224857380/(1x38)
LCM = 189224857380/38
LCM = 4979601510
Thus, we can understand that the LCM of 565,741,722,626 is 4979601510.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 565, 741, 722, 626
1. What is the LCM of 565, 741, 722, 626?
Answer: LCM of 565, 741, 722, 626 is 4979601510.
2. How to calculate the LCM of 565, 741, 722, 626?
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 565, 741, 722, 626.
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}.