Question

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

Answer 1

Yes.
Let the 2 numbers be x & y
Their L.C.M is 380 and H.C.F is 18
We know LCM × HCF=x × y
xy=380 × 18= 6840
thus their multiply should be 6840 and their HCF should be 18

Answer 2

Answer:

this is a very nice question

the question is "can two number have 18 as their hcf and numbers 380 as their lcm?"

so for solving this sum ,we must recall a property..............

→ lcm is a mutiple of hcf ←

here , we see that 380 is not multiple of 18

∴two no. cant have  18 as their hcf and numbers 380 as their lcm