LCM of 970 and 975
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 970 and 975 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 189150 as output. Here you can check the answer for Find the LCM of 970 and 975.
What is LCM of 970 and 975
Given Numbers are 970, 975
We can find the LCM of 970, 975 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 970 and 975
Multiples of 970 =970,1940,2910,3880,4850,5820,6790,7760,8730,9700,10670,11640,12610,13580,14550,15520,16490,
Multiples of 975 =975,1950,2925,3900,4875,5850,6825,7800,8775,9750,10725,11700,12675,13650,14625,15600,16575,
Now, get the least common multiple of 970, 975 which is 189150
So, the LCM of 970, 975 is 189150.
Least Common Multiple (LCM) of 970 and 975 with the help of Prime Factorisation
One method for determining the LCM of 970 and 975 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 970's prime factorization:
| 2 | 970 |
| 5 | 485 |
| 97 | 97 |
| 1 |
Prime factors of 970 are 2, 5,97.
970 = 21×51×971
And this is 975's prime factorization:
| 3 | 975 |
| 5 | 325 |
| 5 | 65 |
| 13 | 13 |
| 1 |
Prime factors of 975 are 3, 5,13.
975 = 31×52×131
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, 5,97, 3,13
.21×31×52×131×971 = 189150
This shows that the LCM of 970 and 975 is 189150.
How to Calculate the LCM of 970 and 975 Using Common Multiples
The first step in determining the Least Common Multiple of 970 and 975 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 970 and 975:
Lets look at the first ten multiples of these numbers, 970 and 975:
970,1940,2910,3880,4850,5820,6790,7760,8730,16490 are the first ten multiples of 970.
975,1950,2925,3900,4875,5850,6825,7800,8775,16575 are the first ten multiples of 975.
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 970 and 975, for example, are 11640, 16490, and 15600. 189150 is the least common multiple since it is the smallest.
970 and 975 have an LCM of 189150.
Least Common Multiple of 970 and 975 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 970 and 975, than apply into the LCM equation.
GCF(970,975) = 5
LCM(970,975) = ( 970 × 975) / 5
LCM(970,975) = 945750 / 5
LCM(970,975) = 189150
Related Least Common Multiples of 970
Related Least Common Multiples of 975
Frequently Asked Questions on LCM of 970 and 975
1. What is the LCM of 970 and 975?
The LCM of 970 and 975 is 189150.
2. How to find the lowest common multiple of 970 and 975?
To find the lowest common multiple of 970 and 975, we have to get the multip;es of both numbers and identify the least common multiple in them which is 189150.
3. What are the Factors of 970?
Answer: Factors of 970 are 1, 2, 5, 10, 97, 194, 485, 970. There are 8 integers that are factors of 970. The greatest factor of 970 is 970.
4. What are the Factors of 975?
Answer: Factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975. There are 12 integers that are factors of 975. The greatest factor of 975 is 975.
5. How to Find the LCM of 970 and 975?Answer:
Least Common Multiple of 970 and 975 = 189150
Step 1: Find the prime factorization of 970
970 = 2 x 5 x 97
Step 2: Find the prime factorization of 975
975 = 3 x 5 x 5 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 189150 = 2 x 3 x 5 x 5 x 13 x 97
Step 4: Therefore, the least common multiple of 970 and 975 is 189150.