Find the LCM of 565, 735, 738, 323, 604 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 565, 735, 738, 323, 604. So, keep reading to learn more.
Given numbers are 565,735,738,323,604
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,735,738,323,604 is 1993014025380.
Find LCM of 565,735,738,323,604 with Prime Factorization
2 | 565, 735, 738, 323, 604 |
3 | 565, 735, 369, 323, 302 |
5 | 565, 245, 123, 323, 302 |
113, 49, 123, 323, 302 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 113 x 49 x 123 x 323 x 302 = 1993014025380
Therefore, the lowest common multiple of 565,735,738,323,604 is 1993014025380.
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.
565 x 735 x 738 x 323 x 604 = 59790420761400
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.
565 : 1, 5, 113, 565
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
323 : 1, 17, 19, 323
604 : 1, 2, 4, 151, 302, 604
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,735,738,323,604, is 1.
Now, the common factors can be found like this.
565:5x 113
735:3x 5x 7x 7
738:2x 3x 3x 41
323:17x 19
604:2x 2x 151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 59790420761400/(1x30)
LCM = 59790420761400/30
LCM = 1993014025380
Thus, we can understand that the LCM of 565,735,738,323,604 is 1993014025380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 565, 735, 738, 323, 604?
Answer: LCM of 565, 735, 738, 323, 604 is 1993014025380.
2. How to calculate the LCM of 565, 735, 738, 323, 604?
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 565, 735, 738, 323, 604.
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}.