Advertisements
Advertisements
Question
Find the HCF and LCM of the numbers given below. Verify that their product is equal to the product of the given numbers.
46, 51
Advertisements
Solution
| 2 | 46 |
| 23 | 23 |
| 1 |
| 3 | 51 |
| 17 | 17 |
| 1 |
46 = 2 × 23 × 1
51 = 3 × 17 × 1
∴ HCF of 46 and 51 = 1
LCM of 46 and 51 = 2 × 23 × 3 × 17
= 2346
Product of two numbers = 46 × 51
= 2346
Product of HCF and LCM = 1 × 2346
= 2346
Product of the given numbers = 46 × 51
= 2346
RELATED QUESTIONS
Find out the LCM of the following number:
2, 3, 5
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:
15, 30, 90
Find the LCM of the numbers given below:
36, 40, 126
The product of two numbers is 2160 and their HCF is 12. Find their LCM.
An electronic device makes a beep every 15 minutes. Another device makes a beep after every 20 minutes. They beeped together at 6 a.m. At what time will they next beep together?
Find the LCM set of numbers using prime factorisation method.
6, 9
L.C.M of 4, 12 ___________________
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 LCM of the following numbers in which one number is the factor of the other.
- 5, 20
- 6, 18
- 12, 48
- 9, 45
What do you observe in the results obtained?
