A piece of string can be cut into equal lengths of 20cm, 24cm or 30cm long. find the length of the shortest piece of string for which this is possible. PLEASE SHOW WORKING
WHAT IS THE DAMN ANSWER THE HELL
it is 50
Find the length of the shortest piece of string that can be cut into equal length each 20 cm or 24 cm or 30 cm long
120cm is the LCM it is 20x6, 24x5, and 30x4
I need the answer
A piece of thread can be cut into equal length either 20cm or 24cm or 30cm long determine the length of the shortest p,iece of thread for which this is possible
To find the length of the shortest piece of string for which it is possible to cut equal lengths of 20cm, 24cm, or 30cm, we need to calculate the least common multiple (LCM) of these three numbers.
The LCM is the smallest multiple that is divisible by all the given numbers.
Step 1: List the multiples of each number:
Multiples of 20: 20, 40, 60, 80, 100, ...
Multiples of 24: 24, 48, 72, 96, 120, ...
Multiples of 30: 30, 60, 90, 120, 150, ...
Step 2: Identify the least common multiple from the list of multiples:
The LCM of 20, 24, and 30 is 120.
Therefore, the length of the shortest piece of string for which it is possible to cut equal lengths of 20cm, 24cm, or 30cm is 120cm.