Find the LCM of 312, 351, 374, 153, 902 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 312, 351, 374, 153, 902. So, keep reading to learn more.
Given numbers are 312,351,374,153,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,351,374,153,902 is 21528936.
Find LCM of 312,351,374,153,902 with Prime Factorization
2 | 312, 351, 374, 153, 902 |
3 | 156, 351, 187, 153, 451 |
3 | 52, 117, 187, 51, 451 |
11 | 52, 39, 187, 17, 451 |
13 | 52, 39, 17, 17, 41 |
17 | 4, 3, 17, 17, 41 |
4, 3, 1, 1, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 13 x 17 x 4 x 3 x 1 x 1 x 41 = 21528936
Therefore, the lowest common multiple of 312,351,374,153,902 is 21528936.
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.
312 x 351 x 374 x 153 x 902 = 5652379088928
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
351 : 1, 3, 9, 13, 27, 39, 117, 351
374 : 1, 2, 11, 17, 22, 34, 187, 374
153 : 1, 3, 9, 17, 51, 153
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,351,374,153,902, is 1.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
351:3x 3x 3x 13
374:2x 11x 17
153:3x 3x 17
902:2x 11x 41
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 3x 3x 3x 11x 13x 17 = 262548
Therefore, the value for common factors is 262548.
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 = 5652379088928/(1x262548)
LCM = 5652379088928/262548
LCM = 21528936
Thus, we can understand that the LCM of 312,351,374,153,902 is 21528936.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 312, 351, 374, 153, 902?
Answer: LCM of 312, 351, 374, 153, 902 is 21528936.
2. How to calculate the LCM of 312, 351, 374, 153, 902?
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 312, 351, 374, 153, 902.
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}.