LCM of 725, 319, 403, 516, 676
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 725, 319, 403, 516, 676 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 725, 319, 403, 516, 676. So, keep reading to learn more.
Given numbers are 725,319,403,516,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 725,319,403,516,676 is 21559008900.
Find LCM of 725,319,403,516,676 with Prime Factorization
| 2 | 725, 319, 403, 516, 676 |
| 2 | 725, 319, 403, 258, 338 |
| 13 | 725, 319, 403, 129, 169 |
| 29 | 725, 319, 31, 129, 13 |
| 25, 11, 31, 129, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 29 x 25 x 11 x 31 x 129 x 13 = 21559008900
Therefore, the lowest common multiple of 725,319,403,516,676 is 21559008900.
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.
725 x 319 x 403 x 516 x 676 = 32510985421200
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.
725 : 1, 5, 25, 29, 145, 725
319 : 1, 11, 29, 319
403 : 1, 13, 31, 403
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,319,403,516,676, is 1.
Now, the common factors can be found like this.
725:5x 5x 29
319:11x 29
403:13x 31
516:2x 2x 3x 43
676:2x 2x 13x 13
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 13x 29 = 1508
Therefore, the value for common factors is 1508.
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 = 32510985421200/(1x1508)
LCM = 32510985421200/1508
LCM = 21559008900
Thus, we can understand that the LCM of 725,319,403,516,676 is 21559008900.
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FAQs on LCM of 725, 319, 403, 516, 676
1. What is the LCM of 725, 319, 403, 516, 676?
Answer: LCM of 725, 319, 403, 516, 676 is 21559008900.
2. How to calculate the LCM of 725, 319, 403, 516, 676?
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 725, 319, 403, 516, 676.
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}.