Find the least perfect square exactly divisible by each of the numbers 3, 4 and 5
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2
Answer:
aim :t to find the least perfect square exactly divisible by each one of the numbers 4,5, 10.
=> fist let us find the lcm of 4,5 and 10
=>4 = 2*2
=>5 = 5*1
=>10 = 2*5
=>lcm = 2*2*5 (they are the prime factors
=>.20
20 is the lcm of 4 , 5 and 10
now multiply the prime factors so that all the prime factors will have even multiplicities.
=> the prime factors was2*2*5
=>2² *5
>now
=>2 ² * 5²
=>4 *25
=> 100
∴100 is the answer
Step-by-step explanation:
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Answered by
3
Step-by-step explanation:
first take the LCM of 3,4 and 5
=60=2*2*3*5
now we have to pair every element to make it perfect square
which is 15
therefore
60*15=900
therefore 900 is the leat perfect square which is exactly divisible by 3 4 and 5
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