find two common multiples of 6,8 and 12
Answers
Answer:
1,2
Step-by-step explanation:
1 and 2
1×6,1×8,1×12
2×3,2×4,2×6
Two common multiples of 6 , 8 and 12 is 24 , 48
Given :
The numbers 6 , 8 and 12
To find :
Two common multiples of 6 , 8 and 12
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 4 :
Write down the given numbers
Here the given numbers are 6 , 8 and 12
Step 2 of 4 :
Prime factorise the numbers
6 = 2 × 3
8 = 2 × 2 × 2
12 = 2 × 2 × 3
Step 3 of 4 :
Find the LCM of the numbers
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
The LCM of the numbers
= 2 × 2 × 2 × 3
= 24
Step 4 of 4 :
Find two common multiples of 6 , 8 and 12
24 × 1 = 24
24 × 2 = 48
Hence two common multiples of 6 , 8 and 12 are 24 and 48
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