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प्रश्न
In an apartment consisting of 108 floors, two lifts A and B starting from the ground floor, stop at every 3rd and 5th floors respectively. On which floors, will both of them stop together?
उत्तर
Multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99, 102, 105
Multiples of 5 are 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105
Common multiples of 3 and 5 are 15, 30, 45, 60, 75, 90 and 105
Both the lifts will stop at floors 15, 30, 45, 60, 75, 90 and 105
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संबंधित प्रश्न
Think of a number. If it is a multiple of 3 write it in the red circle. If it is a multiple of 5 write it in the blue circle.
Some numbers are multiples of both 3 and 5.
So we can say that they are common to both 3 and 5.
Think! If you write the multiples common to 3 and 5 in the purple part, then will they still be in both the red and the blue circles?
- Which is the smallest among these common multiples? Repeat the game using the numbers 2 and 7.
- Write the common multiples of 2 and 7.
Repeat the game by putting the multiples of 4, 6, and 5 in the circles.
What common multiples of 5 and 6 did you write in the green part?
What common multiples of 4 and 6 are written in the orange part?
In which coloured part did you write the common multiples of 4, 6 and 5?
What is the smallest common multiple of 4, 6, and 5?
Tamarind Seeds
Sunita took some tamarind (imli) seeds. She made groups of five with them and found that one seed was leftover. She tried making groups of six and groups of four. Each time one seed was leftover. What is the smallest number of seeds that Sunita had?
Find the first three common multiples of:
6 and 8
Write all the numbers less than 100 which are common multiples of 3 and 4.
