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:
12, 28
Given the fractions `13/45` and `22/75`. write their equivalent fractions with the same denominators and add the fractions.
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 of the numbers given below. Verify that their product is equal to the product of the given numbers.
18, 63
Find the least 5-digit number which is exactly divisible by 20, 25, 30.
L.C.M of 4, 12 ___________________
Find first three common multiples of the given number.
12, 9
Find L.C.M of the given number.
16 and 24
Ramya visits the gym five days once and Kavitha visits the gym six days once. On which day will they meet each other?
The smallest number that is a multiple of both 3 and 7 is:
