Advertisements
Advertisements
प्रश्न
Which two consecutive even numbers have an LCM of 180?
Advertisements
उत्तर
Two consecutive even numbers’ LCM = 180
The HCF of two consecutive even numbers, on the other hand, = 2
Now, the given number’s Product = HCF × LCM
= 2 × 180
= 360
We must factor 360 to find two consecutive even numbers.
| 2 | 360 |
| 2 | 180 |
| 2 | 90 |
| 3 | 45 |
| 3 | 15 |
| 5 | 5 |
| 1 |
360 = (2 × 2 × 2) × (3 × 3 × 5)
= (2 × 3 × 3) × (2 × 2 × 5)
= 18 × 20
∴ 18 and 20 are two consecutive even numbers whose LCM is 180.
संबंधित प्रश्न
Find out the LCM of the following number:
9, 15
Find out the LCM of the following number:
12, 28
Veena has some beads. She wants to make necklaces with an equal number of beads in each. If she makes necklaces of 16 or 24 or 40 beads, there is no bead left over. What is the least number of beads with her?
Find the LCM:
18, 36, 27
Find the HCF and LCM of the numbers given below. Verify that their product is equal to the product of the given numbers.
18, 63
Find the LCM set of numbers using prime factorisation method.
15, 25, 75
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?
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?
Find first three common multiples of the given number.
24, 36
Which of the following pairs has 30 as their LCM?
