Question

Find the hcf and lcm for the numbers 105 and 120 and verify that hcf * lcm = product of 2 numbers

Answer 1

hcf of 105 and 120 is 15
lcm of 105 and 120 is 840
105 ×120=15 × 840
12600 = 12600
hence verified
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Answer 2

Answer:

It is proved that $HCF\times LCM=105\times 120$.

Step-by-step explanation:

The given numbers are 105 and 120.

The factors of given numbers are

$105=3\times 5\times 7$

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

LCM of 105 and 120 is,

$LCM=3\times 5=15$

HCF of 105 and 120 is,

$HCF=2\times 2\times 2\times 3\times 5\times 7=840$

Product of 105 and 120 is

$105\times 120=12600$

Product of LCM and HCF of 105 and 120.

$15\times 840=21600$

Hence proved that $HCF\times LCM=105\times 120$.