LCM of 90 and 97
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 90 and 97 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 8730 as output. Here you can check the answer for Find the LCM of 90 and 97.
What is LCM of 90 and 97
Given Numbers are 90, 97
We can find the LCM of 90, 97 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 90 and 97
Multiples of 90 =90,180,270,360,450,540,630,720,810,900,990,1080,1170,1260,1350,1440,1530,
Multiples of 97 =97,194,291,388,485,582,679,776,873,970,1067,1164,1261,1358,1455,1552,1649,
Now, get the least common multiple of 90, 97 which is 8730
So, the LCM of 90, 97 is 8730.
Least Common Multiple (LCM) of 90 and 97 with the help of Prime Factorisation
One method for determining the LCM of 90 and 97 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 97's prime factorization:
| 97 | 97 |
| 1 |
Prime factors of 97 are 97.
97 = 971
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, 3,5,97
.21×32×51×971 = 8730
This shows that the LCM of 90 and 97 is 8730.
How to Calculate the LCM of 90 and 97 Using Common Multiples
The first step in determining the Least Common Multiple of 90 and 97 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 90 and 97:
Lets look at the first ten multiples of these numbers, 90 and 97:
90,180,270,360,450,540,630,720,810,1530 are the first ten multiples of 90.
97,194,291,388,485,582,679,776,873,1649 are the first ten multiples of 97.
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 97, for example, are 1080, 1530, and 1552. 8730 is the least common multiple since it is the smallest.
90 and 97 have an LCM of 8730.
Least Common Multiple of 90 and 97 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90 and 97, than apply into the LCM equation.
GCF(90,97) = 1
LCM(90,97) = ( 90 × 97) / 1
LCM(90,97) = 8730 / 1
LCM(90,97) = 8730
Related Least Common Multiples of 90
Related Least Common Multiples of 97
Frequently Asked Questions on LCM of 90 and 97
1. What is the LCM of 90 and 97?
The LCM of 90 and 97 is 8730.
2. How to find the lowest common multiple of 90 and 97?
To find the lowest common multiple of 90 and 97, we have to get the multip;es of both numbers and identify the least common multiple in them which is 8730.
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 97?
Answer: Factors of 97 are 1, 97. There are 2 integers that are factors of 97. The greatest factor of 97 is 97.
5. How to Find the LCM of 90 and 97?Answer:
Least Common Multiple of 90 and 97 = 8730
Step 1: Find the prime factorization of 90
90 = 2 x 3 x 3 x 5
Step 2: Find the prime factorization of 97
97 = 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8730 = 2 x 3 x 3 x 5 x 97
Step 4: Therefore, the least common multiple of 90 and 97 is 8730.