Question

the product of two number is 1734 and their HCF is 17 find the LCM​

Answer 1

Step-by-step explanation:

Product of two numbers=1734

HCF×LCM=Product of two numbers

HCF×LCM=1734

HCF=17

LCM=Product of two numbers/HCF

LCM=1734/17

LCM=102

HENCE,LCM=102

Answer 2

Given:

The  product of two numbers = 1734

The HCF of these two numbers = 17

To Find:

The LCM of these two numbers

Solution:

The LCM is 102.

The HCF of two numbers is the highest number that can divide both the given numbers without leaving any remainder.

The LCM of two numbers is the lowest number that gets completely divided by both numbers.

The relation between LCM, HFC, and the product of two numbers a and b is:

a X b = HCF(a,b) X LCM(a,b)

Substituting the values,

1734 = 17 X LCM

or LCM = 1734 / 17

= 102