
Find the LCM of $\sqrt{343}$.
Answer
513.3k+ views
Hint: Find the LCM of no. using prime factorization method. Break down the no. 343 as a multiple of prime no. Then take the root of the prime no.’s to get the LCM of $\sqrt{343}$.
Complete step-by-step answer:
LCM is the least common multiple; it is also referred to as the lowest common multiple.
For 2 integers a and b, denoted by LCM(a,b), the LCM is the smallest positive integer that is evenly divisible by both a and b. For example LCM(2,3)=6 and LCM(6,10)=30
We can take LCM by prime factorization method.
The method is to break down or express a given no. as a product of prime number. Where prime no. is a whole no. which is greater than 1, it is only divisible by 1 and itself.
$\therefore $LCM of $343=7\times 7\times 7$
where 7 is a prime no.
$\therefore \sqrt{343}=\sqrt{7\times 7\times 7}=7\sqrt{7}$
Note: LCM can be found by listing the factors, other than by prime factorization,
So, $343=7\times 7\times 7$
Complete step-by-step answer:
LCM is the least common multiple; it is also referred to as the lowest common multiple.
For 2 integers a and b, denoted by LCM(a,b), the LCM is the smallest positive integer that is evenly divisible by both a and b. For example LCM(2,3)=6 and LCM(6,10)=30
We can take LCM by prime factorization method.
The method is to break down or express a given no. as a product of prime number. Where prime no. is a whole no. which is greater than 1, it is only divisible by 1 and itself.
$\therefore $LCM of $343=7\times 7\times 7$
where 7 is a prime no.
$\therefore \sqrt{343}=\sqrt{7\times 7\times 7}=7\sqrt{7}$
Note: LCM can be found by listing the factors, other than by prime factorization,
So, $343=7\times 7\times 7$
Recently Updated Pages
Master Class 11 Accountancy: Engaging Questions & Answers for Success

Out of 30 students in a class 6 like football 12 like class 7 maths CBSE

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

Trending doubts
Give 10 examples for herbs , shrubs , climbers , creepers

How many millions make a billion class 6 maths CBSE

Number of Prime between 1 to 100 is class 6 maths CBSE

What are the main physical divisions of India class 6 social science CBSE

Write 10 sentences about the flower Rose in Englis class 6 english CBSE

Write a letter to the editor of a newspaper on reckless class 6 english CBSE
