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प्रश्न
On the playground, if the children are made to stand for drill either 20 to a row or 25 to a row, all rows are complete and no child is left out. What is the lowest possible number of children in that school?
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उत्तर
If the children are to stand in rows such that all rows are complete and no children is left out, then the number of children in the school must be in multiples of both 20 and 25. So, the lowest possible number of children in the school is the LCM of 20 and 25.
Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200,...
Multiples of 25: 25, 50, 75, 100, 125, 150, 175, 200,...
Common multiples of 20 and 25: 100, 200,...
∴ Lowest of possible number of children in that school = LCM of 20 and 25 = 100
Thus, the lowest of possible number of children in that school is 100.
संबंधित प्रश्न
We observed the traffic lights at three different squares on the same big road. They turn green every 60 seconds, 120 seconds and 24 seconds. When the signals were switched on at 8 o’clock in the morning, all the lights were green. How long after that will all three signals turn green simultaneously again?
Find the LCM:
105, 195
Find the HCF and LCM:
17, 102, 170
The LCM of 12, 15, 20, 27 is
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Find the LCM set of numbers using prime factorisation method.
6, 9
The number divisible by 5 with no remainder
There is a garden in Anu’s house. In the middle of the garden there is a path. They decided to tile the path using tiles of length 2 feet, 3 feet and 5 feet.
The mason tiled the first row with 2 feet tiles, the second row with 3 feet tiles and the third row with 5 feet tiles. The mason has not cut any of the tiles. Then what is the shortest length of the path?
Find the smallest 4-digit number which is divisible by 18, 24 and 32.
The least common multiple of two or more numbers is defined as:
