Question

Find the LCM and HCF of the following pair of integers and verify that
LCM X HCF = Product of the two numbers
a. 26 and 91​

Answer 1

Answer:

2366=2366

Step-by-step explanation:

HCF*LCM=26*91

HCF=13

LCM=13*2*7=182

HCF*LCM=26*91

13*182=26*91

2366=2366

Thus solved

Answer 2

$\large\sf{26=2×13}$

$\large\sf{91=7×13}$

$\therefore$$\large\sf{HCF=13}$

$\large\sf{LCM=2×7×13=182}$

$\huge\sf\purple{We\:know\:that,}$

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

$\large\sf{182×13=26×91}$

$\large\sf{2366=2366}$

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