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Find the least number which on being added 11 to it is exactly divisible by 24 32 36 54?
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Find the least number which on being added 11 to it is exactly divisib...
Problem: Find the least number which on being added 11 to it is exactly divisible by 24 32 36 54?
Solution:
To solve this problem, we need to find the LCM (Least Common Multiple) of the given numbers and subtract 11 from it. The resulting number will be the required number.
Steps to follow:
Step 1: Find the LCM of 24, 32, 36, and 54.
24 = 2 x 2 x 2 x 3
32 = 2 x 2 x 2 x 2 x 2
36 = 2 x 2 x 3 x 3
54 = 2 x 3 x 3 x 3
LCM = 2 x 2 x 2 x 2 x 3 x 3 x 3 = 216
Step 2: Subtract 11 from the LCM obtained in step 1.
Required number = 216 - 11 = 205
Step 3: Check if the number obtained in step 2 is divisible by 24, 32, 36, and 54.
205 + 11 = 216, which is divisible by 24, 32, 36, and 54.
Therefore, the least number which on being added 11 to it is exactly divisible by 24, 32, 36, and 54 is 205.
Answer: The required number is 205.
Solution:
To solve this problem, we need to find the LCM (Least Common Multiple) of the given numbers and subtract 11 from it. The resulting number will be the required number.
Steps to follow:
Step 1: Find the LCM of 24, 32, 36, and 54.
24 = 2 x 2 x 2 x 3
32 = 2 x 2 x 2 x 2 x 2
36 = 2 x 2 x 3 x 3
54 = 2 x 3 x 3 x 3
LCM = 2 x 2 x 2 x 2 x 3 x 3 x 3 = 216
Step 2: Subtract 11 from the LCM obtained in step 1.
Required number = 216 - 11 = 205
Step 3: Check if the number obtained in step 2 is divisible by 24, 32, 36, and 54.
205 + 11 = 216, which is divisible by 24, 32, 36, and 54.
Therefore, the least number which on being added 11 to it is exactly divisible by 24, 32, 36, and 54 is 205.
Answer: The required number is 205.
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Find the least number which on being added 11 to it is exactly divisible by 24 32 36 54?
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Find the least number which on being added 11 to it is exactly divisible by 24 32 36 54? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about Find the least number which on being added 11 to it is exactly divisible by 24 32 36 54? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the least number which on being added 11 to it is exactly divisible by 24 32 36 54?.
Find the least number which on being added 11 to it is exactly divisible by 24 32 36 54? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about Find the least number which on being added 11 to it is exactly divisible by 24 32 36 54? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the least number which on being added 11 to it is exactly divisible by 24 32 36 54?.
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