Find the LCM of 237, 535, 370, 935, 703 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, 535, 370, 935, 703. So, keep reading to learn more.
Given numbers are 237,535,370,935,703
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 237,535,370,935,703 is 33337194990.
Find LCM of 237,535,370,935,703 with Prime Factorization
5 | 237, 535, 370, 935, 703 |
37 | 237, 107, 74, 187, 703 |
237, 107, 2, 187, 19 |
Multiply the prime numbers at the bottom and the left side.
5 x 37 x 237 x 107 x 2 x 187 x 19 = 33337194990
Therefore, the lowest common multiple of 237,535,370,935,703 is 33337194990.
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 535 x 370 x 935 x 703 = 30836905365750
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
535 : 1, 5, 107, 535
370 : 1, 2, 5, 10, 37, 74, 185, 370
935 : 1, 5, 11, 17, 55, 85, 187, 935
703 : 1, 19, 37, 703
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 237,535,370,935,703, is 1.
Now, the common factors can be found like this.
237:3x 79
535:5x 107
370:2x 5x 37
935:5x 11x 17
703:19x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 37 = 925
Therefore, the value for common factors is 925.
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 = 30836905365750/(1x925)
LCM = 30836905365750/925
LCM = 33337194990
Thus, we can understand that the LCM of 237,535,370,935,703 is 33337194990.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 237, 535, 370, 935, 703?
Answer: LCM of 237, 535, 370, 935, 703 is 33337194990.
2. How to calculate the LCM of 237, 535, 370, 935, 703?
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, 535, 370, 935, 703.
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}.