Question

find the LCM and HCF Of 120 and 144 by fundamental theorem of arithmatic​

Answer 1

Factorize the numbers

120=2×2×2×3×5

144=2×2×2×2×3×3

HCF=Highest common factor=2×2×2×3=24

LCM=Lowest common multiple=2×2×2×2×3×3×5=720

Answer 2

To find :

Find the lowest common multiple (LCM) and highest common factor (HCF) of 120 and 144 by fundamental theorem of arithmetic.

Solution : HCF is a largest number that " divides " exactly into two or more number. LCM is two numbers is the " smallest" number that they both divide even no.

$120 = 2 \times 2 \times 2 \times 3 \times 5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 144 = 2 \times 2 \times 2 \times 2 \times 3 \times 3$

$hcf \: = 2 \times 2 \times 2 \times 3 = 24 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:lcm = 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 5 = 720$

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