Find the LCM of 319, 377, 397, 740, 962 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 319, 377, 397, 740, 962. So, keep reading to learn more.
Given numbers are 319,377,397,740,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,377,397,740,962 is 1218305660.
Find LCM of 319,377,397,740,962 with Prime Factorization
2 | 319, 377, 397, 740, 962 |
13 | 319, 377, 397, 370, 481 |
29 | 319, 29, 397, 370, 37 |
37 | 11, 1, 397, 370, 37 |
11, 1, 397, 10, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 29 x 37 x 11 x 1 x 397 x 10 x 1 = 1218305660
Therefore, the lowest common multiple of 319,377,397,740,962 is 1218305660.
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.
319 x 377 x 397 x 740 x 962 = 33988291302680
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.
319 : 1, 11, 29, 319
377 : 1, 13, 29, 377
397 : 1, 397
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,377,397,740,962, is 1.
Now, the common factors can be found like this.
319:11x 29
377:13x 29
397:397
740:2x 2x 5x 37
962:2x 13x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 29x 37 = 27898
Therefore, the value for common factors is 27898.
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 = 33988291302680/(1x27898)
LCM = 33988291302680/27898
LCM = 1218305660
Thus, we can understand that the LCM of 319,377,397,740,962 is 1218305660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 319, 377, 397, 740, 962?
Answer: LCM of 319, 377, 397, 740, 962 is 1218305660.
2. How to calculate the LCM of 319, 377, 397, 740, 962?
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 319, 377, 397, 740, 962.
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}.