Find the LCM of 943, 764, 357, 942, 313 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 943, 764, 357, 942, 313. So, keep reading to learn more.
Given numbers are 943,764,357,942,313
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 943,764,357,942,313 is 12639132228324.
Find LCM of 943,764,357,942,313 with Prime Factorization
2 | 943, 764, 357, 942, 313 |
3 | 943, 382, 357, 471, 313 |
943, 382, 119, 157, 313 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 943 x 382 x 119 x 157 x 313 = 12639132228324
Therefore, the lowest common multiple of 943,764,357,942,313 is 12639132228324.
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.
943 x 764 x 357 x 942 x 313 = 75834793369944
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.
943 : 1, 23, 41, 943
764 : 1, 2, 4, 191, 382, 764
357 : 1, 3, 7, 17, 21, 51, 119, 357
942 : 1, 2, 3, 6, 157, 314, 471, 942
313 : 1, 313
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 943,764,357,942,313, is 1.
Now, the common factors can be found like this.
943:23x 41
764:2x 2x 191
357:3x 7x 17
942:2x 3x 157
313:313
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 75834793369944/(1x6)
LCM = 75834793369944/6
LCM = 12639132228324
Thus, we can understand that the LCM of 943,764,357,942,313 is 12639132228324.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 943, 764, 357, 942, 313?
Answer: LCM of 943, 764, 357, 942, 313 is 12639132228324.
2. How to calculate the LCM of 943, 764, 357, 942, 313?
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 943, 764, 357, 942, 313.
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}.