Advertisements
Advertisements
प्रश्न
Wilson, Mathan and Guna can complete one round of a circular track in 10, 15 and 20 minutes respectively. If they start together at 7 a.m from the starting point, at what time will they meet together again at the starting point?
Advertisements
उत्तर
This is an LCM related problem
So, we need to find the LCM of 10, 15 and 20
| 5 | 10, 15, 20 |
| 2 | 2, 3, 4 |
| 1, 3, 2 |
LCM = 5 × 2 × 1 × 3 × 2 = 60 min
They will meet together again after 60 minutes.
ie. 7 a.m + 60 minutes = 8 a.m
APPEARS IN
संबंधित प्रश्न
Find out the LCM of the following number:
12, 28
Find out the LCM of the following number:
8, 11
Find the HCF and LCM of the numbers given below. Verify that their product is equal to the product of the given numbers.
32, 37
Find the HCF and LCM of the numbers given below. Verify that their product is equal to the product of the given numbers.
15, 60
Find the HCF and LCM:
32, 16
Find the smallest number which when divided by 8, 9, 10, 15, or 20 gives a remainder of 5 every time.
Find the LCM set of numbers using prime factorisation method.
10, 15
Find the LCM set of numbers using prime factorisation method.
30, 40, 60
Malarvizhi, Karthiga and Anjali are friends and natives of the same village. They work at different places. Malarvizhi comes to her home once in 5 days. Similarly, Karthiga and Anjali come to their homes once in 6 days and 10 days respectively. Assuming that they met each other on the 1st of October, when will all the three meet again?
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?
