Find the LCM of 430, 946, 746, 755, 241 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 430, 946, 746, 755, 241. So, keep reading to learn more.
Given numbers are 430,946,746,755,241
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 430,946,746,755,241 is 64204277390.
Find LCM of 430,946,746,755,241 with Prime Factorization
2 | 430, 946, 746, 755, 241 |
5 | 215, 473, 373, 755, 241 |
43 | 43, 473, 373, 151, 241 |
1, 11, 373, 151, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 43 x 1 x 11 x 373 x 151 x 241 = 64204277390
Therefore, the lowest common multiple of 430,946,746,755,241 is 64204277390.
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.
430 x 946 x 746 x 755 x 241 = 55215678555400
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.
430 : 1, 2, 5, 10, 43, 86, 215, 430
946 : 1, 2, 11, 22, 43, 86, 473, 946
746 : 1, 2, 373, 746
755 : 1, 5, 151, 755
241 : 1, 241
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,946,746,755,241, is 1.
Now, the common factors can be found like this.
430:2x 5x 43
946:2x 11x 43
746:2x 373
755:5x 151
241:241
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 5x 43 = 860
Therefore, the value for common factors is 860.
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 = 55215678555400/(1x860)
LCM = 55215678555400/860
LCM = 64204277390
Thus, we can understand that the LCM of 430,946,746,755,241 is 64204277390.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 430, 946, 746, 755, 241?
Answer: LCM of 430, 946, 746, 755, 241 is 64204277390.
2. How to calculate the LCM of 430, 946, 746, 755, 241?
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 430, 946, 746, 755, 241.
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}.