If you make a garland of 6,8 or 10 flowers from the flowers in the basket, 5 flowers are left each time. What is the least number of flowers present in the basket?
Answers
Answer:
lcm of 6.;8;10=120
remaining=5
therefore total number of flower=120+5=125
Step-by-step explanation:
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Given: A garland has to be made of 6,8 or 10 flowers. In every case, 5 flowers are left.
To find: Least number of flowers present in the basket
Explanation: To find a garland that can be made with 6,8 or 10 flowers, we need to find the LCM of 6,8 and 10.
LCM of 6,8 and 10= 120 because 120 is the least number which perfectly divides 6,8 and 10.
Now, 5 flowers are left in each case. That means the least number of flowers when divides gives remainder 5 in each case.
Therefore, the number should be 120+5 = 125
Verifying, we see that 125 leaves remainder 5 in every case.
Therefore, the least number of flowers present in the basket is 125.