Home
Class 10
MATHS
Can two numbers have 18 as their HCF and...

Can two numbers have `18` as their HCF and `380` as their LCM? Give reason.

Text Solution

Verified by Experts

We know that the L.C.M of two numbers is always divisible by their H.C.F So. `(380)/(18)` should be a natural number.
But it is not a natural number.
Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    NAGEEN PRAKASHAN|Exercise Exercise1 A|29 Videos
  • REAL NUMBERS

    NAGEEN PRAKASHAN|Exercise Exercise 1b|16 Videos
  • REAL NUMBERS

    NAGEEN PRAKASHAN|Exercise Solved Example|15 Videos
  • QUADRATIC EQUATIONS

    NAGEEN PRAKASHAN|Exercise Revision Exercise Long Answer Questions|6 Videos
  • SOME APPLICATIONS OF TRIGONOMETRY

    NAGEEN PRAKASHAN|Exercise Long Answer Questions|5 Videos

Similar Questions

Explore conceptually related problems

Can two number have 18 as their HCF and 380 as their LCM? Give reason

Can two numbers have 18 as their HCFand 380 as their LCM? Give reason.

Can two numbers have 16 as their HCF and 204 as their LCM ? Give reason.

Two numbers have 12 as their HCF and 350 as their LCM (True/false).

Can two numbers have 12 as their HCF and 512 as their LCM? Justify your answer.

Can two numbers have 12 as their HCF and 512 as their LCM ? Justify your answer .

Can two numbers has 16 as H.C.F.and 380 as L.C.M.

Two numbers have 16 as their HCF and 146 as their LCM. How many such pairs of numbers are there ?

Two numbers are in ratio 2:5 and their HCF is 18. Their LCM is.

Product of two numbers is 18144 and their HCF is 6, then their LCM is…