It is easy to find the LCM of 95 and 100 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 1900 as output. Here you can check the answer for Find the LCM of 95 and 100.
Given Numbers are 95, 100
We can find the LCM of 95, 100 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 95 and 100
Multiples of 95 =95,190,285,380,475,570,665,760,855,950,1045,1140,1235,1330,1425,1520,1615,
Multiples of 100 =100,200,300,400,500,600,700,800,900,1000,1100,1200,1300,1400,1500,1600,1700,
Now, get the least common multiple of 95, 100 which is 1900
So, the LCM of 95, 100 is 1900.
One method for determining the LCM of 95 and 100 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 95's prime factorization:5 | 95 |
19 | 19 |
1 |
Prime factors of 95 are 5,19.
95 = 51×191
And this is 100's prime factorization:
2 | 100 |
2 | 50 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 100 are 2,5.
100 = 22×52
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: 5,19,2
.22×52×191 = 1900
This shows that the LCM of 95 and 100 is 1900.
The first step in determining the Least Common Multiple of 95 and 100 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 95 and 100:
Lets look at the first ten multiples of these numbers, 95 and 100:
95,190,285,380,475,570,665,760,855,1615 are the first ten multiples of 95.
100,200,300,400,500,600,700,800,900,1700 are the first ten multiples of 100.
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 95 and 100, for example, are 1140, 1615, and 1600. 1900 is the least common multiple since it is the smallest.
95 and 100 have an LCM of 1900.
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95 and 100, than apply into the LCM equation.
GCF(95,100) = 5
LCM(95,100) = ( 95 × 100) / 5
LCM(95,100) = 9500 / 5
LCM(95,100) = 1900
1. What is the LCM of 95 and 100?
The LCM of 95 and 100 is 1900.
2. How to find the lowest common multiple of 95 and 100?
To find the lowest common multiple of 95 and 100, we have to get the multip;es of both numbers and identify the least common multiple in them which is 1900.
3. 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.
4. What are the Factors of 100?
Answer: Factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100. There are 9 integers that are factors of 100. The greatest factor of 100 is 100.
5. How to Find the LCM of 95 and 100?Answer:
Least Common Multiple of 95 and 100 = 1900
Step 1: Find the prime factorization of 95
95 = 5 x 19
Step 2: Find the prime factorization of 100
100 = 2 x 2 x 5 x 5
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1900 = 2 x 2 x 5 x 5 x 19
Step 4: Therefore, the least common multiple of 95 and 100 is 1900.