Find the LCM of 936, 946, 871, 344, 430 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 936, 946, 871, 344, 430. So, keep reading to learn more.
Given numbers are 936,946,871,344,430
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 936,946,871,344,430 is 148313880.
Find LCM of 936,946,871,344,430 with Prime Factorization
2 | 936, 946, 871, 344, 430 |
2 | 468, 473, 871, 172, 215 |
2 | 234, 473, 871, 86, 215 |
13 | 117, 473, 871, 43, 215 |
43 | 9, 473, 67, 43, 215 |
9, 11, 67, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 43 x 9 x 11 x 67 x 1 x 5 = 148313880
Therefore, the lowest common multiple of 936,946,871,344,430 is 148313880.
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.
936 x 946 x 871 x 344 x 430 = 114080663473920
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.
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
946 : 1, 2, 11, 22, 43, 86, 473, 946
871 : 1, 13, 67, 871
344 : 1, 2, 4, 8, 43, 86, 172, 344
430 : 1, 2, 5, 10, 43, 86, 215, 430
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,946,871,344,430, is 1.
Now, the common factors can be found like this.
936:2x 2x 2x 3x 3x 13
946:2x 11x 43
871:13x 67
344:2x 2x 2x 43
430:2x 5x 43
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 2x 2x 2x 13x 43x 43 = 769184
Therefore, the value for common factors is 769184.
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 = 114080663473920/(1x769184)
LCM = 114080663473920/769184
LCM = 148313880
Thus, we can understand that the LCM of 936,946,871,344,430 is 148313880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 936, 946, 871, 344, 430?
Answer: LCM of 936, 946, 871, 344, 430 is 148313880.
2. How to calculate the LCM of 936, 946, 871, 344, 430?
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 936, 946, 871, 344, 430.
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}.