###### Advertisements

###### Advertisements

Can two numbers have 16 as their HCF and 380 as their LCM? Give reason.

###### Advertisements

#### Solution

TO FIND: can two numbers have 16 as their H.C.F and 380 as their L.C.M

On dividing 380 by 16 we get 23 as the quotient and 12 as the remainder,

Since L.C.M is not exactly divisible by the H.C.F, two numbers cannot have 16 as their H.C.F and 380 as their L.C.M

#### APPEARS IN

#### RELATED QUESTIONS

What is the HCF of the smallest prime number and the smallest composite number?

Find the LCM and HCF of the following integers by applying the prime factorisation method:

24, 15 and 36

The HCF of two numbers is 145 and their LCM is 2175. If one number is 725, find the other.

Write down the decimal expansions of the following rational numbers by writing their denominators in the form 2^{m} × 5^{n}, where, *m*, *n* are non-negative integers.\[\frac{129}{2^2 \times 5^7}\]

If the product of two numbers is 1080 and their HCF is 30, find their LCM.

For what value of natural number n, 4^{n} can end with the digit 6?

If m, n are natural numbers, for what values of m, does 2^{n} × 5^{m} ends in 5?

Find the H.C.F. of 252525 and 363636

If p_{1}^{x1} × p_{2}^{x2} × p_{3}^{x3} × p_{4}^{x4} = 113400 where p_{1}, p_{2}, p_{3}, p_{4} are primes in ascending order and x_{1}, x_{2}, x_{3}, x_{4}, are integers, find the value of p_{1}, p_{2}, p_{3}, p_{4} and x_{1}, x_{2}, x_{3}, x_{4}

Find the L.C.M. and H.C.F. of 408 and 170 by applying the fundamental theorem of Arithmetic

Find the greatest number consisting of 6 digits which is exactly divisible by 24, 15, 36?

What is the smallest number that when divided by three numbers such as 35, 56 and 91 leaves remainder 7 in each case?

Find the least number that is divisible by the first ten natural numbers

Find the least positive value of x such that 89 ≡ (x + 3) (mod 4)

The sum of the exponents of the prime factors in the prime factorization of 1729 is

The largest number which divides 60 and 75, leaving remainders 8 and 10 respectively, is ______.

Can two numbers have 18 as their HCF and 380 as their LCM? Give reasons.

The LCM of smallest 2-digit number and smallest composite number is ______.

If HCF (72, 120) = 24, then LCM (72, 120) is ______.

The HCF of the smallest 2-digit number and the smallest composite number is ______.