Find the LCM of 223, 721, 765, 364, 525 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 223, 721, 765, 364, 525. So, keep reading to learn more.
Given numbers are 223,721,765,364,525
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 223,721,765,364,525 is 31979738700.
Find LCM of 223,721,765,364,525 with Prime Factorization
3 | 223, 721, 765, 364, 525 |
5 | 223, 721, 255, 364, 175 |
7 | 223, 721, 51, 364, 35 |
223, 103, 51, 52, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 223 x 103 x 51 x 52 x 5 = 31979738700
Therefore, the lowest common multiple of 223,721,765,364,525 is 31979738700.
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.
223 x 721 x 765 x 364 x 525 = 23505107944500
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.
223 : 1, 223
721 : 1, 7, 103, 721
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 223,721,765,364,525, is 1.
Now, the common factors can be found like this.
223:223
721:7x 103
765:3x 3x 5x 17
364:2x 2x 7x 13
525:3x 5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7x 7 = 735
Therefore, the value for common factors is 735.
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 = 23505107944500/(1x735)
LCM = 23505107944500/735
LCM = 31979738700
Thus, we can understand that the LCM of 223,721,765,364,525 is 31979738700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 223, 721, 765, 364, 525?
Answer: LCM of 223, 721, 765, 364, 525 is 31979738700.
2. How to calculate the LCM of 223, 721, 765, 364, 525?
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 223, 721, 765, 364, 525.
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}.