Question

find the lcm and hcf of the following pairs of integers and verify the lcm and hcf = product of the numbers 336 and 54

Answer 1

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solution:--

336 = 2×2×2×2 × 3 × 7

   54 = 2 × 33

H.C.F. = 2 × 3 = 6

L.C.M. = 2×2×2×2 × 3×3×3 × 7 = 3024

=

Verification :

L.C.M. × H.C.F. = 3024 × 6 = 18144

Product of the two nos. = 336 × 54 = 18144

L.C.M. × H.C.F. = Product of the two nos.

Verified.

Answer 2

Factors of 336,
2_|_336
2_|_168
2_|_84
2_|_42
3_|_21
7_|_7
_|_1
336 = 2×2×2×2×3×7
Factors of 54,
2_|_54
3_|_27
3_|_9
3_|_3
_|_1
54 = 2×3×3×3
HCF (336,54) = 2×3
= 6
LCM (336,54) = 2×2×2×2×3×3×3×7
= 3024
Verification,
HCF × LCM = product of numbers
6 × 3024 = 336 × 54
18114 = 18114
Hence verified.
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