Question

For each of the following pairs of numbers, verify that product of numbers is equal to the product of HCF and LCM.

1) 10, 15

2) 35, 40

3) 32, 48

Answer 1

$1)10,15$

$10=2\times 5$

$15=3\times 5$

$LCM=2\times 3\times 5=30$

$HCF=5$

Hence, $LCM\times HCF=30\times 5=150$= Product of Numbers

$2)35,40$

$35=5\times 7$

$40=2\times 2\times 2\times 5$

$LCM=5\times 7\times 8=280$

$HCF=5$

Hence, $LCM\times HCF=280\times 5=1400$ = Product of Numbers

$3)32,48$

$32=2\times 2\times 2\times 2\times 2$

$48=2\times 2\times 2\times 2\times 3$

$LCM=96$

$HCF=16$

Hence, $LCM\times HCF=96\times 16=1536$ = Product of numbers