Find the LCM of 917, 978, 376, 120, 301 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 917, 978, 376, 120, 301. So, keep reading to learn more.
Given numbers are 917,978,376,120,301
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 917,978,376,120,301 is 36249706920.
Find LCM of 917,978,376,120,301 with Prime Factorization
2 | 917, 978, 376, 120, 301 |
2 | 917, 489, 188, 60, 301 |
2 | 917, 489, 94, 30, 301 |
3 | 917, 489, 47, 15, 301 |
7 | 917, 163, 47, 5, 301 |
131, 163, 47, 5, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 131 x 163 x 47 x 5 x 43 = 36249706920
Therefore, the lowest common multiple of 917,978,376,120,301 is 36249706920.
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.
917 x 978 x 376 x 120 x 301 = 12179901525120
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.
917 : 1, 7, 131, 917
978 : 1, 2, 3, 6, 163, 326, 489, 978
376 : 1, 2, 4, 8, 47, 94, 188, 376
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
301 : 1, 7, 43, 301
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,978,376,120,301, is 1.
Now, the common factors can be found like this.
917:7x 131
978:2x 3x 163
376:2x 2x 2x 47
120:2x 2x 2x 3x 5
301:7x 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 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 12179901525120/(1x336)
LCM = 12179901525120/336
LCM = 36249706920
Thus, we can understand that the LCM of 917,978,376,120,301 is 36249706920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 917, 978, 376, 120, 301?
Answer: LCM of 917, 978, 376, 120, 301 is 36249706920.
2. How to calculate the LCM of 917, 978, 376, 120, 301?
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 917, 978, 376, 120, 301.
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}.