if the LCM of 12 and 42 is 10m+4 then the value of m is
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Answer:
The value of m = 8
Step-by-step explanation:
Given,
LCM of 12 and 42 = 10m+4
To find,
The value of 'm'
Solution:
The prime factorization of 12 = 2×2×3
The Prime factorization of 42 = 2×3×7
Hence the LCM of 12 and 42 = 2×2×3×7 = 84
Since it is given that LCM of 12 and 42 = 10m+4, we have
10m+4 = 84
10m = 80
m = 8
The value of m = 8
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