Question

xy=180 and HCF(xy)=3. FIND the Lcm (x,y)​

Answer 1

Answer :

LCM (x , y) = 60

Step-by-step explanation :

$\underline{\underline{\bf Highest \ Common \ Factor(HCF):}}$

• The HCF is the greatest factor present in between given two or more numbers i.e., the greatest number which can divide the given numbers.

• HCF is also known as Greatest Common Divisor (GCD)

$\underline{\underline{\bf LCM(Least \ Common \ Multiple):}}$

• The LCM is the smallest number that is a multiple of two or more numbers.

_____________________________

Given,

• Product of two numbers, xy = 180
• HCF of two numbers = 3

To find,

• LCM of the two numbers [ LCM(x,y) ]

we know,

Product of two numbers = HCF × LCM

Substituting the given values,

    180 = 3 × LCM

   LCM = 180/3

   LCM = 60

∴ LCM (x , y) = 60

Answer 2

Answer:

LCM (x , y) = 60

Step-by-step explanation :

$\underline{\underline{\bf Highest \ Common \ Factor(HCF):}}$

• The HCF is the greatest factor present in between given two or more numbers i.e., the greatest number which can divide the given numbers.
• HCF is also known as Greatest Common Divisor (GCD)

_________________________

$\underline{\underline{\bf LCM(Least \ Common \ Multiple):}}$

The LCM is the smallest number that is a multiple of two or more numbers.

_________________________

Given,

• Product of two numbers, xy = 180
• HCF of two numbers = 3

To find,

• LCM of the two numbers [ LCM(x,y) ]

we know,

Product of two numbers = HCF × LCM

Substituting the given values,

180 = 3 × LCM

LCM = 180/3

LCM = 60

∴ LCM (x , y) = 60