हिंदी

Find the Lcm and Hcf of the Following Integers by Applying the Prime Factorisation Method: 84, 90 and 120

Advertisements
Advertisements

प्रश्न

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

 84, 90 and 120

संख्यात्मक
Advertisements

उत्तर

84, 90 and 120

Let us first find the factors of 84, 90 and 120

`84=2^2xx3xx7`

`90=2xx3^2xx5`

`120=2^3xx3xx5`

L.C.M of 84,90 and 120 =`2^3xx3^2xx5xx7`

L.C.M of 84,90 and 120 = 2520

H.C.F of 84,90 and 120 =6 

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

APPEARS IN

आर.डी. शर्मा Mathematics [English] Class 10
अध्याय 1 Real Numbers
Exercise 1.4 | Q 2.5 | पृष्ठ ३९

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

Consider the number 12n where n is a natural number. Check whether there is any value of n ∈ N for which 12n ends with the digital zero.


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:

45470971


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

 24, 15 and 36


State Fundamental Theorem of Arithmetic.


Write the exponent of 2 in the price factorization of 144.


Express the number as a product of its prime factor:

5005


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.

17, 23 and 29


If m, n are natural numbers, for what values of m, does 2n × 5m ends in 5?


Find the least positive value of x such that 89 ≡ (x + 3) (mod 4)


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.


For some integer p, every odd integer is of the form ______.


If two positive integers A and B can be expressed as A = xy3 and B = x4y2z; x, y being prime numbers then HCF (A, B) is ______.


If LCM(x, 18) = 36 and HCF(x, 18) = 2, then x is ______.


n2 – 1 is divisible by 8, if n is ______.


Show that 12n cannot end with the digit 0 or 5 for any natural number n.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×