English

Find the Lcm and Hcf of the Following Integers by Applying the Prime Factorisation Method: 24, 15 and 36 - Mathematics

Advertisements
Advertisements

Question

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

 24, 15 and 36

Numerical
Advertisements

Solution

 24, 15 and 36

Let us first find the factors of 24, 15 and 36.

`24=2^3xx3`

`15=3xx5`

`36=2^2xx3^2`

L.C.M of 24,15 and 36=`2^2xx3^2xx5`

L.C.F of 24,15 and 36 =360

H.C.F of 24 ,15 and 36 =3 

shaalaa.com
  Is there an error in this question or solution?
Chapter 1: Real Numbers - Exercise 1.4 [Page 39]

APPEARS IN

RD Sharma Mathematics [English] Class 10
Chapter 1 Real Numbers
Exercise 1.4 | Q 2.6 | Page 39

RELATED QUESTIONS

Given that HCF (306, 657) = 9, find LCM (306, 657).


Check whether 6n can end with the digit 0 for any natural number n.


A merchant has 120 liters of oil of one kind, 180 liters of another kind and 240 liters of third kind. He wants to sell the oil by filling the three kinds of oil in tins of equal capacity. What should be the greatest capacity of such a tin?


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

40, 36 and 126


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 2m × 5n, where, mn are non-negative integers. \[\frac{3}{8}\]


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:

5005


If 13824 = 2a × 3b then find a and b


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?


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?


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


Two numbers are in the ratio 2 : 3 and their LCM is 180. What is the HCF of these numbers?


The prime factorisation of the number 2304 is ______.


The prime factorisation of the number 5488 is ______.


Three bells toll at intervals of 9, 12 and 15 minutes respectively. If they start tolling together, after what time will they next toll together?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×