Question

Find lcm and hcf for 120 and 144 and show that lcm × hcf product of these number

Answer 1

120 - 2*2*2*3*5
144 - 2*2*2*2*3*3

hcf- 2*2*2*3= 24

LCM - 720


LCM * hcf = product of two no.
7200*24 = 120*144
17280=17280

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”.

• 120 = 2×2×2×3×5
• 144 = 2×2×2×2×3×3

• H C F = 2×2×2×3=24
• L C M = 2×2×2×2×3×3×5=720

• HCF × LCM = Products
• 24×720 = 120×144
• 17280 = 17280.

• hence, proved.

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