Advertisements
Advertisements
प्रश्न
The HCF of two numbers 65 and 104 is 13. If LCM of 65 and 104 is 40x, then the value of x is ______.
पर्याय
5
13
40
8
उत्तर
The HCF of two numbers 65 and 104 is 13. If LCM of 65 and 104 is 40x, then the value of x is 13.
Explanation:
The relationship between the highest common factor (HCF) and the least common multiple (LCM) of two numbers a and b is expressed by the formula:
`HCF(a, b) xx LCM(a, b) = a xx b`
`13 xx 40x = 65 xx104`
`40x = (65xx104)/13`
`40x = 520`
`x = 13`
APPEARS IN
संबंधित प्रश्न
Given that HCF (306, 657) = 9, find LCM (306, 657).
Determine the prime factorisation of each of the following positive integer:
58500
Find the LCM and HCF of the following integers by applying the prime factorisation method:
24, 15 and 36
Express the number as a product of its prime factor:
3825
If LCM(x, 18) = 36 and HCF(x, 18) = 2, then x is ______.
The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is ______.
Statement A (Assertion): If product of two numbers is 5780 and their HCF is 17, then their LCM is 340.
Statement R (Reason): HCF is always a factor of LCM.
Two numbers are in the ratio 2 : 3 and their LCM is 180. What is the HCF of these numbers?
Read the following passage:
|
Khushi wants to organize her birthday party. Being health conscious, she decided to serve only fruits in her birthday party. She bought 39 apples and 60 bananas and decided to distribute fruits equally among all. |
Based on the above information, answer the following questions:
- How many guests Khushi can invite at the most?
- How many apples and bananas will each guest get?
-
- If Khushi decides to add 42 mangoes, how many guests Khushi can invite at the most?
OR - If the cost of 1 dozen of bananas is ₹ 60, the cost of 1 apple is ₹ 15 and cost of 1 mango is ₹ 20, find the total amount spent on 60 bananas, 36 apples and 42 mangoes.
- If Khushi decides to add 42 mangoes, how many guests Khushi can invite at the most?
The prime factorisation of the number 5488 is ______.
