Find the LCM of 318, 117, 923, 421, 353 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 318, 117, 923, 421, 353. So, keep reading to learn more.
Given numbers are 318,117,923,421,353
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,117,923,421,353 is 130859988246.
Find LCM of 318,117,923,421,353 with Prime Factorization
3 | 318, 117, 923, 421, 353 |
13 | 106, 39, 923, 421, 353 |
106, 3, 71, 421, 353 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 106 x 3 x 71 x 421 x 353 = 130859988246
Therefore, the lowest common multiple of 318,117,923,421,353 is 130859988246.
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.
318 x 117 x 923 x 421 x 353 = 5103539541594
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.
318 : 1, 2, 3, 6, 53, 106, 159, 318
117 : 1, 3, 9, 13, 39, 117
923 : 1, 13, 71, 923
421 : 1, 421
353 : 1, 353
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,117,923,421,353, is 1.
Now, the common factors can be found like this.
318:2x 3x 53
117:3x 3x 13
923:13x 71
421:421
353:353
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13 = 39
Therefore, the value for common factors is 39.
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 = 5103539541594/(1x39)
LCM = 5103539541594/39
LCM = 130859988246
Thus, we can understand that the LCM of 318,117,923,421,353 is 130859988246.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 318, 117, 923, 421, 353?
Answer: LCM of 318, 117, 923, 421, 353 is 130859988246.
2. How to calculate the LCM of 318, 117, 923, 421, 353?
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 318, 117, 923, 421, 353.
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}.