Find the LCM of 386, 107, 965, 737, 391 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 386, 107, 965, 737, 391. So, keep reading to learn more.
Given numbers are 386,107,965,737,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 386,107,965,737,391 is 59509367170.
Find LCM of 386,107,965,737,391 with Prime Factorization
193 | 386, 107, 965, 737, 391 |
2, 107, 5, 737, 391 |
Multiply the prime numbers at the bottom and the left side.
193 x 2 x 107 x 5 x 737 x 391 = 59509367170
Therefore, the lowest common multiple of 386,107,965,737,391 is 59509367170.
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.
386 x 107 x 965 x 737 x 391 = 11485307863810
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.
386 : 1, 2, 193, 386
107 : 1, 107
965 : 1, 5, 193, 965
737 : 1, 11, 67, 737
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 386,107,965,737,391, is 1.
Now, the common factors can be found like this.
386:2x 193
107:107
965:5x 193
737:11x 67
391:17x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
193 = 193
Therefore, the value for common factors is 193.
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 = 11485307863810/(1x193)
LCM = 11485307863810/193
LCM = 59509367170
Thus, we can understand that the LCM of 386,107,965,737,391 is 59509367170.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 386, 107, 965, 737, 391?
Answer: LCM of 386, 107, 965, 737, 391 is 59509367170.
2. How to calculate the LCM of 386, 107, 965, 737, 391?
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 386, 107, 965, 737, 391.
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}.