Find the LCM of 377, 690, 575, 538 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 377, 690, 575, 538. So, keep reading to learn more.
Given numbers are 377,690,575,538
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,690,575,538 is 349874850.
Find LCM of 377,690,575,538 with Prime Factorization
2 | 377, 690, 575, 538 |
5 | 377, 345, 575, 269 |
23 | 377, 69, 115, 269 |
377, 3, 5, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 377 x 3 x 5 x 269 = 349874850
Therefore, the lowest common multiple of 377,690,575,538 is 349874850.
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.
377 x 690 x 575 x 538 = 80471215500
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.
377 : 1, 13, 29, 377
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
575 : 1, 5, 23, 25, 115, 575
538 : 1, 2, 269, 538
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,690,575,538, is 1.
Now, the common factors can be found like this.
377:13x 29
690:2x 3x 5x 23
575:5x 5x 23
538:2x 269
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 23 = 230
Therefore, the value for common factors is 230.
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 = 80471215500/(1x230)
LCM = 80471215500/230
LCM = 349874850
Thus, we can understand that the LCM of 377,690,575,538 is 349874850.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 377, 690, 575, 538?
Answer: LCM of 377, 690, 575, 538 is 349874850.
2. How to calculate the LCM of 377, 690, 575, 538?
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 377, 690, 575, 538.
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}.