Find the least number when divided by 6, 4, 5 and leaves the same remainder.
Answers
Answered by
5
Step-by-step explanation:
The least number which when divided by 4, 5 and 6 leaves remainder 1, 2 and 3
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0
Answer:
The least number when divided by 6,4,5 and leaves the same reminder = 60
Step-by-step explanation:
To find,
The least number when divided by 6,4,5 and leaves the same reminder
Solution:
The leaves number when divided by 6,4,5 and leaves the same reminder is the LCM of the three numbers
= LCM (6,4,5)
The Prime factors of 6 = 2×3
The prime factors of 4 = 2×2
The prime factors of 5 = 5
LCM (6,4,5) = 2×2×3×5 = 60
∴The least number when divided by 6,4,5 and leaves the same reminder = 60
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