Last updated on May 26th, 2025
LCM is both a common multiple and the smallest value between the numbers 19 and 57. We apply LCM in basic arithmetic and in real life-like instances where we find the smallest common time interval to align and schedule events etc.
The LCM of 19 and 57 is 57. The LCM can be ascertained using anyone from the three methods discussed below.
list multiples of the numbers
19= 19,38,57,…
57= 57,114,171,…
Find the smallest number and the common number
LCM(19,57) = 57
Prime factorize the numbers
19 = 19 — it is a prime number
57 = 19×3
Multiply the highest powers
19×3
LCM(19,57) = 57
Listed here are a few mistakes that one can commit when trying to find the LCM of the numbers 19 and 57. Try to avoid them.
A project needs to be completed every 19 days, and an associated report is submitted every 57 days. What percentage of the project cycle aligns with the report submission?
Total time to align both cycles: LCM(19, 57) = 57 days
Percentage of alignment = (19 ÷ 57) × 100 = 33.33%
The project cycle aligns with the report submission every 57 days, which is 33.33% of the project cycle.
A machine performs an operation every 19 hours, while another machine performs its operation every 57 hours. If both machines started at the same time, when will they operate together again?
LCM(a, b) = a×b/HCF(a, b)
LCM (a, b) = 19×57/19
LCM(19, 57) = 57 hours
Both machines will operate together again in 57 hours.
Verify the relationship between the LCM and HCF of 19 and 57
We apply the formula → LCM(a, b)×HCF(a, b)=a×b to check the relationship between the numbers;
LCM of 19 and 57 = 57
HCF of 19 and 57 = 19
Now, verifying the same;
LCM(a, b)×HCF(a, b)=a×b
57×19=19×57
1083=1083
The above is how we ascertain and verify the relationship between the LCM and the HCF of two given numbers.
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
: She loves to read number jokes and games.