LCM of 521, 398, 725, 725, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 521, 398, 725, 725, 319 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 521, 398, 725, 725, 319. So, keep reading to learn more.
Given numbers are 521,398,725,725,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 521,398,725,725,319 is 1653680050.
Find LCM of 521,398,725,725,319 with Prime Factorization
| 5 | 521, 398, 725, 725, 319 |
| 5 | 521, 398, 145, 145, 319 |
| 29 | 521, 398, 29, 29, 319 |
| 521, 398, 1, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
5 x 5 x 29 x 521 x 398 x 1 x 1 x 11 = 1653680050
Therefore, the lowest common multiple of 521,398,725,725,319 is 1653680050.
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.
521 x 398 x 725 x 725 x 319 = 34768623051250
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.
521 : 1, 521
398 : 1, 2, 199, 398
725 : 1, 5, 25, 29, 145, 725
725 : 1, 5, 25, 29, 145, 725
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,398,725,725,319, is 1.
Now, the common factors can be found like this.
521:521
398:2x 199
725:5x 5x 29
725:5x 5x 29
319:11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 29x 29 = 21025
Therefore, the value for common factors is 21025.
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 = 34768623051250/(1x21025)
LCM = 34768623051250/21025
LCM = 1653680050
Thus, we can understand that the LCM of 521,398,725,725,319 is 1653680050.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 521, 398, 725, 725, 319
1. What is the LCM of 521, 398, 725, 725, 319?
Answer: LCM of 521, 398, 725, 725, 319 is 1653680050.
2. How to calculate the LCM of 521, 398, 725, 725, 319?
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 521, 398, 725, 725, 319.
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}.