Find the LCM of 725, 299, 936, 521 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, 299, 936, 521. So, keep reading to learn more.
Given numbers are 725,299,936,521
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 725,299,936,521 is 8131663800.
Find LCM of 725,299,936,521 with Prime Factorization
13 | 725, 299, 936, 521 |
725, 23, 72, 521 |
Multiply the prime numbers at the bottom and the left side.
13 x 725 x 23 x 72 x 521 = 8131663800
Therefore, the lowest common multiple of 725,299,936,521 is 8131663800.
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 299 x 936 x 521 = 105711629400
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
299 : 1, 13, 23, 299
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
521 : 1, 521
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,299,936,521, is 1.
Now, the common factors can be found like this.
725:5x 5x 29
299:13x 23
936:2x 2x 2x 3x 3x 13
521:521
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 105711629400/(1x13)
LCM = 105711629400/13
LCM = 8131663800
Thus, we can understand that the LCM of 725,299,936,521 is 8131663800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 725, 299, 936, 521?
Answer: LCM of 725, 299, 936, 521 is 8131663800.
2. How to calculate the LCM of 725, 299, 936, 521?
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, 299, 936, 521.
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}.