Advertisements
Advertisements
प्रश्न
Find the LCM and HCF of the following integers by applying the prime factorisation method.
8, 9 and 25
Advertisements
उत्तर
 |
 |
 |
8 = 2 × 2 × 2
9 = 3 × 3
25 = 5 × 5
L.C.M of 8, 9 and 25 = `2^2xx3^2xx5^2`
L.C.M of 8, 9 and 25 = 1800
H.C.F of 8, 9 and 25 = 1
संबंधित प्रश्न
Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers.
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
State Fundamental Theorem of Arithmetic.
Express the number as a product of its prime factor:
7429
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 greatest number consisting of 6 digits which is exactly divisible by 24, 15, 36?
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.
The product of two consecutive natural numbers is always ______.
When a number is divided by 7, its remainder is always ______.
The ratio of LCM and HCF of the least composite and the least prime numbers is ______.
For some integer q, every odd integer is of the form ______.
The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is ______.
Explain why 3 × 5 × 7 + 7 is a composite number.
Show that 12n cannot end with the digit 0 or 5 for any natural number n.
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.
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 36 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?
If HCF (72, 120) = 24, then LCM (72, 120) 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 ______.
