LCM of 90 and 94
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 90 and 94 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 4230 as output. Here you can check the answer for Find the LCM of 90 and 94.
What is LCM of 90 and 94
Given Numbers are 90, 94
We can find the LCM of 90, 94 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 90 and 94
Multiples of 90 =90,180,270,360,450,540,630,720,810,900,990,1080,1170,1260,1350,1440,1530,
Multiples of 94 =94,188,282,376,470,564,658,752,846,940,1034,1128,1222,1316,1410,1504,1598,
Now, get the least common multiple of 90, 94 which is 4230
So, the LCM of 90, 94 is 4230.
Least Common Multiple (LCM) of 90 and 94 with the help of Prime Factorisation
One method for determining the LCM of 90 and 94 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 94's prime factorization:
| 2 | 94 |
| 47 | 47 |
| 1 |
Prime factors of 94 are 2,47.
94 = 21×471
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, 3,5,47
.21×32×51×471 = 4230
This shows that the LCM of 90 and 94 is 4230.
How to Calculate the LCM of 90 and 94 Using Common Multiples
The first step in determining the Least Common Multiple of 90 and 94 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 90 and 94:
Lets look at the first ten multiples of these numbers, 90 and 94:
90,180,270,360,450,540,630,720,810,1530 are the first ten multiples of 90.
94,188,282,376,470,564,658,752,846,1598 are the first ten multiples of 94.
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 94, for example, are 1080, 1530, and 1504. 4230 is the least common multiple since it is the smallest.
90 and 94 have an LCM of 4230.
Least Common Multiple of 90 and 94 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 94, than apply into the LCM equation.
GCF(90,94) = 2
LCM(90,94) = ( 90 × 94) / 2
LCM(90,94) = 8460 / 2
LCM(90,94) = 4230
Related Least Common Multiples of 90
Related Least Common Multiples of 94
Frequently Asked Questions on LCM of 90 and 94
1. What is the LCM of 90 and 94?
The LCM of 90 and 94 is 4230.
2. How to find the lowest common multiple of 90 and 94?
To find the lowest common multiple of 90 and 94, we have to get the multip;es of both numbers and identify the least common multiple in them which is 4230.
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 94?
Answer: Factors of 94 are 1, 2, 47, 94. There are 4 integers that are factors of 94. The greatest factor of 94 is 94.
5. How to Find the LCM of 90 and 94?Answer:
Least Common Multiple of 90 and 94 = 4230
Step 1: Find the prime factorization of 90
90 = 2 x 3 x 3 x 5
Step 2: Find the prime factorization of 94
94 = 2 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4230 = 2 x 3 x 3 x 5 x 47
Step 4: Therefore, the least common multiple of 90 and 94 is 4230.