Advertisements
Advertisements
Question
The product of two numbers is 2160 and their HCF is 12. The LCM of these numbers is
Options
12
25920
180
none of these
Solution
180
Here, H.C.F. = 12
Product of two numbers = 2160
We know:
L.C.M. × H.C.F. = Product of the two numbers
L.C.M. = \[\frac{2160}{\text{H.C.F.}}\]
= \[\frac{2160}{12}\]
= 180
L.C.M. = 180
APPEARS IN
RELATED QUESTIONS
Find the LCM:
15, 30, 90
The product of two two-digit numbers is 765 and their HCF is 3. What is their LCM?
Which two consecutive even numbers have an LCM of 180?
The HCF of two numbers is 145 and their LCM is 2175. If one of the numbers is 725, the other number is
The LCM of two successive numbers is the product of the numbers
Find the LCM set of numbers using prime factorisation method.
6, 9
Find L.C.M of the given number.
30 and 20
Find the least number which when divided by 6, 15 and 18 leave the remainder of 5 in each case.
Find the smallest 4-digit number which is divisible by 18, 24 and 32.
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?
