Purpose of finding LCM :
By finding the least common multiple, we will get the number which will be the multiple of given numbers. Or the value that we find will be divisible by the given numbers.
Step 1 :
Find the least common multiple of given numbers.
Step 2 :
Select the greater number, for example
Step 3 :
Divide the values by the least common multiple, then the dividend should be subtracted with the remainder. And the result is the greatest number which is divisible by the given numbers.
Problem 1 :
Determine the greatest 3 digit number which is exactly divisible by 6, 8 and 12.
Solution :
By finding the least common multiple of 6, 8 and 12
LCM (6, 8 and 12) = 24
By dividing 1000 (least four digit number) by 24, we get
1000 - 16 ==> 984
So, 984 is the greatest 3 digit number which is divisible by 24.
Problem 2 :
Find the greatest 3 digit number exactly divisible by 8, 10 and 12.
Solution :
LCM (8, 10 and 12) = 120
1000 - 40 ==> 960
So, 960 is greatest 3 digit number which is divisible by 120.
Problem 3 :
Find the greatest 4 digit number which is divisible by 18, 24 and 32.
Solution :
LCM (18, 24 and 32)
LCM = 288
The greatest 5 digit number is 100000.
10000 - 208 ==> 9792
So, 9792 is the greater four digit number divisible by 18, 24 and 32.
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May 21, 24 08:51 AM
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