Question

prime factors of 2 given numbers a and b are a=x3yz4 and b =xy² where x y z are prime numbers.find lcm (a,b). explain​

Answer 1

Step-by-step explanation:

Given:-

Prime factors of 2 given numbers a and b are a=x^3yz^4 and b =xy^2 where x y z are prime numbers.

To find:-

Find lcm (a,b).?

Solution:-

Given two numbers = a and b

a = x^3yz^4

b = xy^2

Where x,y,z are prime numbers

a = (x^3)×(y)×(z^4)

b = (x)×(y^2)

LCM of a and b is the product of the greatest power of each prime factors of the numbers.

LCM(a,b) = (x^3)×(y^2)×(z^4)

LCM(a,b)=x^3 y^2 z^4

Answer:-

LCM of the given two numbers a and b is

x^3 y^2 z^4

Used Concept:-

LCM of any two numbers is the product of the greatest power of each prime factors of the numbers.