It is easy to find the LCM of 90 and 95 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 1710 as output. Here you can check the answer for Find the LCM of 90 and 95.
Given Numbers are 90, 95
We can find the LCM of 90, 95 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 90 and 95
Multiples of 90 =90,180,270,360,450,540,630,720,810,900,990,1080,1170,1260,1350,1440,1530,
Multiples of 95 =95,190,285,380,475,570,665,760,855,950,1045,1140,1235,1330,1425,1520,1615,
Now, get the least common multiple of 90, 95 which is 1710
So, the LCM of 90, 95 is 1710.
One method for determining the LCM of 90 and 95 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:
Here is 90's prime factorization:2 | 90 |
3 | 45 |
3 | 15 |
5 | 5 |
1 |
Prime factors of 90 are 2, 3,5.
90 = 21×32×51
And this is 95's prime factorization:
5 | 95 |
19 | 19 |
1 |
Prime factors of 95 are 5,19.
95 = 51×191
When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered: 2, 3,5,19
.21×32×51×191 = 1710
This shows that the LCM of 90 and 95 is 1710.
The first step in determining the Least Common Multiple of 90 and 95 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 90 and 95:
Lets look at the first ten multiples of these numbers, 90 and 95:
90,180,270,360,450,540,630,720,810,1530 are the first ten multiples of 90.
95,190,285,380,475,570,665,760,855,1615 are the first ten multiples of 95.
You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 90 and 95, for example, are 1080, 1530, and 1520. 1710 is the least common multiple since it is the smallest.
90 and 95 have an LCM of 1710.
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90 and 95, than apply into the LCM equation.
GCF(90,95) = 5
LCM(90,95) = ( 90 × 95) / 5
LCM(90,95) = 8550 / 5
LCM(90,95) = 1710
1. What is the LCM of 90 and 95?
The LCM of 90 and 95 is 1710.
2. How to find the lowest common multiple of 90 and 95?
To find the lowest common multiple of 90 and 95, we have to get the multip;es of both numbers and identify the least common multiple in them which is 1710.
3. What are the Factors of 90?
Answer: Factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90. There are 12 integers that are factors of 90. The greatest factor of 90 is 90.
4. What are the Factors of 95?
Answer: Factors of 95 are 1, 5, 19, 95. There are 4 integers that are factors of 95. The greatest factor of 95 is 95.
5. How to Find the LCM of 90 and 95?Answer:
Least Common Multiple of 90 and 95 = 1710
Step 1: Find the prime factorization of 90
90 = 2 x 3 x 3 x 5
Step 2: Find the prime factorization of 95
95 = 5 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1710 = 2 x 3 x 3 x 5 x 19
Step 4: Therefore, the least common multiple of 90 and 95 is 1710.