Question

Find the hcf and lcm of 198 and 144 and verify that the lcm into hcf is equal to product of two numbers

Answer 1

Answer:

Step-by-step explanation:

198=2x3x3x11

144=2x2x2x2x3x3

HCF=2x3x3=18

LCM=2x2x2x2x3x3x11=1584

Product of numbers = 198x144 =28512

LCMxHCF=18x1584=28512

Hence proved

Answer 2

HCF is a largest number that “divides exactly into two or more numbers”.

LCM is two numbers is the “smallest number that they both divide evenly into”.

198 = 2×3×3×11

144 = 2×2×2×2×3×3

H C F = 2×3×3= 18

L C M = 2×2×2×11×3×3×5=1584

HCF × LCM = Products

18×1584 = 144×198

=> 28512 = 28512

hence, proved.

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