Step-by-step explanation:
LCM x HCF = product of the two integers
3024 x 6 = 336 x 54
18144 = 18144
Since, L.H.S = R.H.S, hence verified
(iii) 336 and 54
H.C.F. = Product of smallest power of each common prime factor
= 2¹ × 3¹ = 6
L.C.M. = Product of greatest power of each prime factor
= 2⁴ × 3³ × 7 = 3024
Now, we have to verify that :
H.C.F. × L.C.M. = Product of the two given numbers
L.H.S. :
H.C.F. × L.C.M. = 6 × 3024
= 18144
R.H.S. :
Product of the two numbers = 336 × 54 = 18144
L.H.S. = R.H.S.
hence, verified.
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Answers & Comments
Step-by-step explanation:
LCM x HCF = product of the two integers
3024 x 6 = 336 x 54
18144 = 18144
Since, L.H.S = R.H.S, hence verified
Verified answer
(iii) 336 and 54
H.C.F. = Product of smallest power of each common prime factor
= 2¹ × 3¹ = 6
L.C.M. = Product of greatest power of each prime factor
= 2⁴ × 3³ × 7 = 3024
Now, we have to verify that :
H.C.F. × L.C.M. = Product of the two given numbers
L.H.S. :
H.C.F. × L.C.M. = 6 × 3024
= 18144
R.H.S. :
Product of the two numbers = 336 × 54 = 18144
L.H.S. = R.H.S.
hence, verified.