What is the LCM of 184 , 230 and 276 2×96=184. 2×115=230. 2×138=276
Answers
230=2×5×23
276=2×2×3×23
LCM(184,230,276)=Product of highest index power of each factor
=2×2×2×5×3×23
=2,760Ans.
LCM of 184 , 230 and 276 is 2760
Correct question : What is the LCM of 184 , 230 and 276
Given :
The numbers 184 , 230 and 276
To find :
LCM of 184 , 230 and 276
Concept :
LCM :
For the given two or more numbers LCM is the least number which is exactly divisible by each of the given numbers
Solution :
Step 1 of 3 :
Write down the given numbers
Here the given numbers are 184 , 230 and 276
Step 2 of 3 :
Prime factorise the numbers
184 = 2 × 2 × 2 × 23
230 = 2 × 5 × 23
276 = 2 × 2 × 3 × 23
Step 3 of 3 :
Find the LCM
We know that for the given two or more numbers LCM is the least number which is exactly divisible by each of the given numbers
Hence the required LCM
= LCM of 184 , 230 and 276
= 2 × 2 × 2 × 3 × 5 × 23
= 2760
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