Find the LCM of 303, 781, 214, 101, 737 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 303, 781, 214, 101, 737. So, keep reading to learn more.
Given numbers are 303,781,214,101,737
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 303,781,214,101,737 is 3392987334.
Find LCM of 303,781,214,101,737 with Prime Factorization
11 | 303, 781, 214, 101, 737 |
101 | 303, 71, 214, 101, 67 |
3, 71, 214, 1, 67 |
Multiply the prime numbers at the bottom and the left side.
11 x 101 x 3 x 71 x 214 x 1 x 67 = 3392987334
Therefore, the lowest common multiple of 303,781,214,101,737 is 3392987334.
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.
303 x 781 x 214 x 101 x 737 = 3769608928074
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.
303 : 1, 3, 101, 303
781 : 1, 11, 71, 781
214 : 1, 2, 107, 214
101 : 1, 101
737 : 1, 11, 67, 737
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,781,214,101,737, is 1.
Now, the common factors can be found like this.
303:3x 101
781:11x 71
214:2x 107
101:101
737:11x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 101 = 1111
Therefore, the value for common factors is 1111.
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 = 3769608928074/(1x1111)
LCM = 3769608928074/1111
LCM = 3392987334
Thus, we can understand that the LCM of 303,781,214,101,737 is 3392987334.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 303, 781, 214, 101, 737?
Answer: LCM of 303, 781, 214, 101, 737 is 3392987334.
2. How to calculate the LCM of 303, 781, 214, 101, 737?
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 303, 781, 214, 101, 737.
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}.