हिंदी

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

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

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

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

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

12, 15 and 21


Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers.


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


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.\[\frac{129}{2^2 \times 5^7}\]


Write the sum of the exponents of prime factors in the prime factorization of 98.


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.

8, 9 and 25


LCM of the given number ‘x’ and ‘y’ where y is a multiple of ‘x’ is given by ______.


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 ratio of LCM and HCF of the least composite and the least prime numbers is ______.


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


If two positive integers p and q can be expressed as p = ab2 and q = a3b; a, b being prime numbers, then LCM (p, q) 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) = ______.


Find the HCF and LCM of 72 and 120.


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.


If n is a natural number, then 8n cannot end with digit


The prime factorisation of the number 5488 is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×