Find the LCM of 455, 627, 385, 748, 373 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 455, 627, 385, 748, 373. So, keep reading to learn more.
Given numbers are 455,627,385,748,373
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 455,627,385,748,373 is 7235968740.
Find LCM of 455,627,385,748,373 with Prime Factorization
5 | 455, 627, 385, 748, 373 |
7 | 91, 627, 77, 748, 373 |
11 | 13, 627, 11, 748, 373 |
13, 57, 1, 68, 373 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 11 x 13 x 57 x 1 x 68 x 373 = 7235968740
Therefore, the lowest common multiple of 455,627,385,748,373 is 7235968740.
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.
455 x 627 x 385 x 748 x 373 = 30644327613900
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.
455 : 1, 5, 7, 13, 35, 65, 91, 455
627 : 1, 3, 11, 19, 33, 57, 209, 627
385 : 1, 5, 7, 11, 35, 55, 77, 385
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
373 : 1, 373
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 455,627,385,748,373, is 1.
Now, the common factors can be found like this.
455:5x 7x 13
627:3x 11x 19
385:5x 7x 11
748:2x 2x 11x 17
373:373
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 11x 11 = 4235
Therefore, the value for common factors is 4235.
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 = 30644327613900/(1x4235)
LCM = 30644327613900/4235
LCM = 7235968740
Thus, we can understand that the LCM of 455,627,385,748,373 is 7235968740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 455, 627, 385, 748, 373?
Answer: LCM of 455, 627, 385, 748, 373 is 7235968740.
2. How to calculate the LCM of 455, 627, 385, 748, 373?
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 455, 627, 385, 748, 373.
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}.