Advertisements
Advertisements
Question
Find the HCF and LCM of 72 and 120.
Advertisements
Solution
72 = 2 × 2 × 2 × 3 × 3
120 = 2 × 2 × 2 × 3 × 5
∴ HCF of 72 and 120 = 2 × 2 × 2 × 3 = 24
and LCM of 72 and 120 = 2 × 2 × 2 × 3 × 3 × 5 = 360
RELATED QUESTIONS
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.
Find HCF and LCM of 404 and 96 and verify that HCF × LCM = Product of the two given 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:
84, 90 and 120
Can two numbers have 16 as their HCF and 380 as their LCM? Give reason.
Find the L.C.M. and H.C.F. of 408 and 170 by applying the fundamental theorem of Arithmetic
According to the fundamental theorem of arithmetic, if T (a prime number) divides b2, b > 0, then ______.
On a morning walk, three persons step off together and their steps measure 40 cm, 42 cm and 45 cm, respectively. What is the minimum distance each should walk so that each can cover the same distance in complete steps?
Find the HCF and LCM of 26, 65 and 117, using prime factorisation.
(HCF × LCM) for the numbers 70 and 40 is ______.
