
If p is prime number what is the lcm of
Answer
424.5k+ views
Hint: In the question we are told that the p is a prime number. A prime number is the number which has factors itself and 1.
In this case p has the factors p and 1. Follow the procedure of factorization and find lcm stepwise.
Complete step-by-step answer:
In this case
P is a prime number. We can find the factors of each term as
In this case we can observe the factors of the given terms and see if any common factors exist.
Taking common factors in all and continuing till the end.
The common in three and two of them will be multiplied only once and the remaining all factors will be multiplied to the result.
This will help us In getting the answers by applying the basic definition of lowest common multiple.
It is a multiple which can be divided by all the given numbers and will be the lowest of such categories to exist.
So, finally solving,
We get the final solution as .
is the lcm of given numbers .
So, the correct answer is “ ”.
Note: In the process of finding the lcm we must factorise the components. If in case hcf is given and we need to find the lcm product of two numbers = product of lcm and hcf.
Understand that hcf is a factor and lcm is multiple of given numbers. Almost every time lcm > hcf.
In this case p has the factors p and 1. Follow the procedure of factorization and find lcm stepwise.
Complete step-by-step answer:
In this case
P is a prime number. We can find the factors of each term as
In this case we can observe the factors of the given terms and see if any common factors exist.
Taking common factors in all
The common in three and two of them will be multiplied only once and the remaining all factors will be multiplied to the result.
This will help us In getting the answers by applying the basic definition of lowest common multiple.
It is a multiple which can be divided by all the given numbers and will be the lowest of such categories to exist.
So, finally solving,
We get the final solution as
So, the correct answer is “
Note: In the process of finding the lcm we must factorise the components. If in case hcf is given and we need to find the lcm product of two numbers = product of lcm and hcf.
Understand that hcf is a factor and lcm is multiple of given numbers. Almost every time lcm > hcf.
Recently Updated Pages
Express the following as a fraction and simplify a class 7 maths CBSE

The length and width of a rectangle are in ratio of class 7 maths CBSE

The ratio of the income to the expenditure of a family class 7 maths CBSE

How do you write 025 million in scientific notatio class 7 maths CBSE

How do you convert 295 meters per second to kilometers class 7 maths CBSE

Write the following in Roman numerals 25819 class 7 maths CBSE

Trending doubts
How many ounces are in 500 mL class 8 maths CBSE

Summary of the poem Where the Mind is Without Fear class 8 english CBSE

Advantages and disadvantages of science

10 slogans on organ donation class 8 english CBSE

The LCM and HCF of two rational numbers are equal Then class 8 maths CBSE

In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE
