Find the least number which is the exactly divisible by 14, 21, 24 and 42?
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Answer:
168 is the least number, which is exactly divisible by 14, 21, 24 and 42.
Step-by-step explanation:
For this, you need to find the LCM (Lowest Common Multiple) of the numbers:
14 = 2*7
21 = 3*7
24 = 2*2*2*3
42 = 2*3*7
Now, you need to take the prime numbers one-by-one and multiply:
Step 1:
1st, prime number 2 = 3 times [because, maximum it occured 3 times, in 24.]
2nd, prime number 3 = 1 times [because, maximum it occured 1 times, in 21, 24 and 42.]
3rd, prime number 7 = 1 times [because, maximum it occured 1 times, in 14, 21 and 42.]
Step 2:
2*2*2*3*7 = 168
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