Question

find the lcm and hcf of the fallowing pairs of integers and verify that lcm × hcf = product of the two numbers 510 and 92​

Answer 1

Answer:

H.C.F=2

LCM=23460

verification

LCM*HCF=Product of 2 numbers

23460*2=510*92

46920=46920

hence proved

Answer 2

$\large\sf{510=2×3×5×17}$

$\large\sf{92=2×2×23}$

$\therefore$$\large\sf{HCF=2}$

$\large\sf{LCM=2×3×5×17×2×23}$

$\longrightarrow$$\large\sf{23460}$

$\large\sf\blue{HCF×LCM=product\:of\:2\:numbers}$

$\longrightarrow$$\large\sf{2×23460=510×92}$

$\longrightarrow$$\large\sf{46920=46920}$

$\therefore$$\large\sf\red{Hence\:proved}$