LCM of 723, 438, 476, 725, 522
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 723, 438, 476, 725, 522 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 723, 438, 476, 725, 522. So, keep reading to learn more.
Given numbers are 723,438,476,725,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,438,476,725,522 is 54642098700.
Find LCM of 723,438,476,725,522 with Prime Factorization
| 2 | 723, 438, 476, 725, 522 |
| 3 | 723, 219, 238, 725, 261 |
| 29 | 241, 73, 238, 725, 87 |
| 241, 73, 238, 25, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 241 x 73 x 238 x 25 x 3 = 54642098700
Therefore, the lowest common multiple of 723,438,476,725,522 is 54642098700.
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.
723 x 438 x 476 x 725 x 522 = 57046351042800
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.
723 : 1, 3, 241, 723
438 : 1, 2, 3, 6, 73, 146, 219, 438
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
725 : 1, 5, 25, 29, 145, 725
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,438,476,725,522, is 1.
Now, the common factors can be found like this.
723:3x 241
438:2x 3x 73
476:2x 2x 7x 17
725:5x 5x 29
522:2x 3x 3x 29
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 3x 29 = 1044
Therefore, the value for common factors is 1044.
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 = 57046351042800/(1x1044)
LCM = 57046351042800/1044
LCM = 54642098700
Thus, we can understand that the LCM of 723,438,476,725,522 is 54642098700.
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FAQs on LCM of 723, 438, 476, 725, 522
1. What is the LCM of 723, 438, 476, 725, 522?
Answer: LCM of 723, 438, 476, 725, 522 is 54642098700.
2. How to calculate the LCM of 723, 438, 476, 725, 522?
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 723, 438, 476, 725, 522.
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}.