Find the LCM of 237, 455, 689, 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 237, 455, 689, 538. So, keep reading to learn more.
Given numbers are 237,455,689,538
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 237,455,689,538 is 3074807190.
Find LCM of 237,455,689,538 with Prime Factorization
13 | 237, 455, 689, 538 |
237, 35, 53, 538 |
Multiply the prime numbers at the bottom and the left side.
13 x 237 x 35 x 53 x 538 = 3074807190
Therefore, the lowest common multiple of 237,455,689,538 is 3074807190.
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.
237 x 455 x 689 x 538 = 39972493470
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.
237 : 1, 3, 79, 237
455 : 1, 5, 7, 13, 35, 65, 91, 455
689 : 1, 13, 53, 689
538 : 1, 2, 269, 538
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 237,455,689,538, is 1.
Now, the common factors can be found like this.
237:3x 79
455:5x 7x 13
689:13x 53
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.
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 = 39972493470/(1x13)
LCM = 39972493470/13
LCM = 3074807190
Thus, we can understand that the LCM of 237,455,689,538 is 3074807190.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 237, 455, 689, 538?
Answer: LCM of 237, 455, 689, 538 is 3074807190.
2. How to calculate the LCM of 237, 455, 689, 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 237, 455, 689, 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}.