Advertisements
Advertisements
Question
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
RELATED QUESTIONS
Determine the prime factorisation of each of the following positive integer:
20570
Find the LCM and HCF of the following integers by applying the prime factorisation method:
40, 36 and 126
Find the LCM and HCF of the following integers by applying the prime factorisation method:
84, 90 and 120
Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = product of the two numbers.
510 and 92
Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = product of the two numbers.
336 and 54
Find the LCM and HCF of the following integers by applying the prime factorisation method.
8, 9 and 25
For what value of natural number n, 4n can end with the digit 6?
Three farmers have 490 kg, 588 kg and 882 kg of wheat respectively. Find the maximum capacity of a bag so that the wheat can be packed in exact number of bags.
For some integer p, every odd integer is of the form ______.
The product of two consecutive natural numbers is always ______.
If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is ______.
The LCM of smallest 2-digit number and smallest composite number is ______.
Assertion (A): The HCF of two numbers is 5 and their product is 150. Then their LCM is 40.
Reason(R): For any two positive integers a and b, HCF (a, b) × LCM (a, b) = a × b.
If n is a natural number, then 8n cannot end with digit
The HCF of the smallest 2-digit number and the smallest composite number is ______.
The mean of first ten natural numbers is ______.
If two positive integers a and b are written as a = x3y2 and b = xy3, where x, y are prime numbers, then the result obtained by dividing the product of the positive integers by the LCM (a, b) is ______.
The HCF of two numbers 65 and 104 is 13. If LCM of 65 and 104 is 40x, then the value of x is ______.
