हिंदी

Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = product of the two numbers. 336 and 54 - Mathematics

Advertisements
Advertisements

प्रश्न

Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = product of the two numbers.

336 and 54

योग
Advertisements

उत्तर

336 = 2 × 2 × 2 × 2 × 3 × 7

54 = 2 × 3 × 3 × 3

L.C.M of 336 and 54 = 2 × 3 × 3 × 3

L.C.M of 336 and 54 = 3024

H.C.F of 336 and 54 = 6 

We know that,

L.C.M × H.C.F = First Numbers × Second Number

3024 × 6 = 336 × 26

18144 = 18144

Thus, LCM × HCF = Product of two numbers.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Real Numbers - Exercise 1.4 [पृष्ठ ३९]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 10
अध्याय 1 Real Numbers
Exercise 1.4 | Q 1.3 | पृष्ठ ३९
एनसीईआरटी Mathematics [English] Class 10
अध्याय 1 Real Numbers
EXERCISE 1.1 | Q 2. (iii) | पृष्ठ ५

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

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


Determine the prime factorisation of each of the following positive integer:

58500


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


Express the number as a product of its prime factor:

7429


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

17, 23 and 29


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


There is a circular path around a sports field. Priya takes 18 minutes to drive one round of the field. Harish takes 12 minutes. Suppose they both start at the same point and at the same time and go in the same direction. After how many minutes will they meet?


Express 98 as a product of its primes.


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 ______.


If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is ______.


If two positive integers a and b are written as a = x3 y2 and b = xy3; x, y are prime numbers, then HCF (a, b) is ______.


Let a and b be two positive integers such that a = p3q4 and b = p2q3, where p and q are prime numbers. If HCF (a, b) = pmqn and LCM (a, b) = prqs, then (m + n)(r + s) = ______.


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.


Find the HCF and LCM of 72 and 120.


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


(HCF × LCM) for the numbers 70 and 40 is ______.


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:

  1. How many guests Khushi can invite at the most?
  2. How many apples and bananas will each guest get?
    1. If Khushi decides to add 42 mangoes, how many guests Khushi can invite at the most?
      OR
    2. 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 HCF (72, 120) = 24, then LCM (72, 120) is ______.


The prime factorisation of the number 2304 is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×