LCM of 76 and 80
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 76 and 80 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 1520 as output. Here you can check the answer for Find the LCM of 76 and 80.
What is LCM of 76 and 80
Given Numbers are 76, 80
We can find the LCM of 76, 80 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 76 and 80
Multiples of 76 =76,152,228,304,380,456,532,608,684,760,836,912,988,1064,1140,1216,1292,
Multiples of 80 =80,160,240,320,400,480,560,640,720,800,880,960,1040,1120,1200,1280,1360,
Now, get the least common multiple of 76, 80 which is 1520
So, the LCM of 76, 80 is 1520.
Least Common Multiple (LCM) of 76 and 80 with the help of Prime Factorisation
One method for determining the LCM of 76 and 80 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 76's prime factorization:
| 2 | 76 |
| 2 | 38 |
| 19 | 19 |
| 1 |
Prime factors of 76 are 2,19.
76 = 22×191
And this is 80's prime factorization:
| 2 | 80 |
| 2 | 40 |
| 2 | 20 |
| 2 | 10 |
| 5 | 5 |
| 1 |
Prime factors of 80 are 2,5.
80 = 24×51
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: 2,19,5
.24×51×191 = 1520
This shows that the LCM of 76 and 80 is 1520.
How to Calculate the LCM of 76 and 80 Using Common Multiples
The first step in determining the Least Common Multiple of 76 and 80 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 76 and 80:
Lets look at the first ten multiples of these numbers, 76 and 80:
76,152,228,304,380,456,532,608,684,1292 are the first ten multiples of 76.
80,160,240,320,400,480,560,640,720,1360 are the first ten multiples of 80.
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 76 and 80, for example, are 912, 1292, and 1280. 1520 is the least common multiple since it is the smallest.
76 and 80 have an LCM of 1520.
Least Common Multiple of 76 and 80 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76 and 80, than apply into the LCM equation.
GCF(76,80) = 4
LCM(76,80) = ( 76 × 80) / 4
LCM(76,80) = 6080 / 4
LCM(76,80) = 1520
Related Least Common Multiples of 76
Related Least Common Multiples of 80
Frequently Asked Questions on LCM of 76 and 80
1. What is the LCM of 76 and 80?
The LCM of 76 and 80 is 1520.
2. How to find the lowest common multiple of 76 and 80?
To find the lowest common multiple of 76 and 80, we have to get the multip;es of both numbers and identify the least common multiple in them which is 1520.
3. What are the Factors of 76?
Answer: Factors of 76 are 1, 2, 4, 19, 38, 76. There are 6 integers that are factors of 76. The greatest factor of 76 is 76.
4. What are the Factors of 80?
Answer: Factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80. There are 10 integers that are factors of 80. The greatest factor of 80 is 80.
5. How to Find the LCM of 76 and 80?Answer:
Least Common Multiple of 76 and 80 = 1520
Step 1: Find the prime factorization of 76
76 = 2 x 2 x 19
Step 2: Find the prime factorization of 80
80 = 2 x 2 x 2 x 2 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 = 1520 = 2 x 2 x 2 x 2 x 5 x 19
Step 4: Therefore, the least common multiple of 76 and 80 is 1520.