Math, asked by ayushpandey1963, 2 months ago

Find the least number which is the exactly divisible by 14, 21, 24 and 42?
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Answers

Answered by AdrijaSamanta76517A
1

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

Hope this helps.

If it helps, then please mark it, as the brainiest.

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