Advertisements
Advertisements
प्रश्न
Find the least number which when divided by 16, 36, and 40 leaves 5 as the remainder in each case.
उत्तर
LCM of 16, 36, 40
| 2 | 16, 36, 40 |
| 2 | 8, 18, 20 |
| 2 | 4, 9, 10 |
| 2 | 2, 9, 5 |
| 2 | 1, 9, 5 |
| 3 | 1, 3, 5 |
| 3 | 1, 1, 5 |
| 5 | 1, 1, 1 |
LCM = 25 × 32 × 5 = 16 × 9 × 5 = 720
⇒ LCM is 720
Now, Required Number = 720 + 5 = 725
∴ 725 is the least number which when divided by 16, 36, and 40 leaves 5 as the remainder in each case.
APPEARS IN
संबंधित प्रश्न
Find out the LCM of the following number:
2, 3, 5
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?
An equal number of laddoos have been placed in 3 different boxes. The laddoos in the first box were distributed among 20 children equally, the laddoos in the second box among 24 children, and those in the third box among 12 children. Not a single laddoo was leftover. Then, what was the minimum number of laddoos in the three boxes altogether?
Find the LCM:
12, 15
Find the LCM:
15, 30, 90
Find the HCF and LCM of the numbers given below. Verify that their product is equal to the product of the given numbers.
78, 104
Add: `17/28 + 11/35`
If the LCM of 3 and 9 is 9, then their HCF is __________
L.C.M of 4, 12 ___________________
Find the LCM of the following numbers:
- 9 and 4
- 12 and 5
- 6 and 5
- 15 and 4
Observe a common property in the obtained LCMs. Is LCM the product of two numbers in each case?
