What is the least number that when doubled will be exactly divisible by 12, 14, 18, and 22 - mathselab.com

What is the least number that when doubled will be exactly divisible by 12, 14, 18, and 22?

Question


What is the least number that when doubled will be exactly divisible by 12, 14, 18, and 22?


A. 1216
B. 1436
C. 1286
D. 1386


Answer: D. 1386


Solution:


LCM of 12, 14, 18 and 22 = 2772

Hence the least number which will be exactly divisible by 12, 14, 18 and 22 = 2772

2772 ÷ 2 = 1386

1386 is the number which when doubled, we get 2772.

Hence, 1386 is the least number which when doubled will be exactly divisible by 12, 14, 18 and 22.






Related Question


Which of the following integers has the most number of divisors?

The H.C.F. of two numbers is 5 and their L.C.M. is 150. If one of the numbers is 25, then the other is:

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