Find the LCM of 422, 403, 761, 897, 365 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 422, 403, 761, 897, 365. So, keep reading to learn more.
Given numbers are 422,403,761,897,365
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,403,761,897,365 is 3259448391810.
Find LCM of 422,403,761,897,365 with Prime Factorization
13 | 422, 403, 761, 897, 365 |
422, 31, 761, 69, 365 |
Multiply the prime numbers at the bottom and the left side.
13 x 422 x 31 x 761 x 69 x 365 = 3259448391810
Therefore, the lowest common multiple of 422,403,761,897,365 is 3259448391810.
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.
422 x 403 x 761 x 897 x 365 = 42372829093530
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.
422 : 1, 2, 211, 422
403 : 1, 13, 31, 403
761 : 1, 761
897 : 1, 3, 13, 23, 39, 69, 299, 897
365 : 1, 5, 73, 365
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,403,761,897,365, is 1.
Now, the common factors can be found like this.
422:2x 211
403:13x 31
761:761
897:3x 13x 23
365:5x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 42372829093530/(1x13)
LCM = 42372829093530/13
LCM = 3259448391810
Thus, we can understand that the LCM of 422,403,761,897,365 is 3259448391810.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 422, 403, 761, 897, 365?
Answer: LCM of 422, 403, 761, 897, 365 is 3259448391810.
2. How to calculate the LCM of 422, 403, 761, 897, 365?
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 422, 403, 761, 897, 365.
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}.