Find the LCM of 497, 318, 407, 851, 169 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 497, 318, 407, 851, 169. So, keep reading to learn more.
Given numbers are 497,318,407,851,169
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 497,318,407,851,169 is 250030194414.
Find LCM of 497,318,407,851,169 with Prime Factorization
37 | 497, 318, 407, 851, 169 |
497, 318, 11, 23, 169 |
Multiply the prime numbers at the bottom and the left side.
37 x 497 x 318 x 11 x 23 x 169 = 250030194414
Therefore, the lowest common multiple of 497,318,407,851,169 is 250030194414.
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.
497 x 318 x 407 x 851 x 169 = 9251117193318
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.
497 : 1, 7, 71, 497
318 : 1, 2, 3, 6, 53, 106, 159, 318
407 : 1, 11, 37, 407
851 : 1, 23, 37, 851
169 : 1, 13, 169
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,318,407,851,169, is 1.
Now, the common factors can be found like this.
497:7x 71
318:2x 3x 53
407:11x 37
851:23x 37
169:13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
37 = 37
Therefore, the value for common factors is 37.
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 = 9251117193318/(1x37)
LCM = 9251117193318/37
LCM = 250030194414
Thus, we can understand that the LCM of 497,318,407,851,169 is 250030194414.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 497, 318, 407, 851, 169?
Answer: LCM of 497, 318, 407, 851, 169 is 250030194414.
2. How to calculate the LCM of 497, 318, 407, 851, 169?
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 497, 318, 407, 851, 169.
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}.