Advertisements
Advertisements
Question
The HCF of two numbers is 145 and their LCM is 2175. If one number is 725, find the other.
Advertisements
Solution
GIVEN: LCM and HCF of two numbers are 2175 and 145 respectively. If one number is 725
TO FIND: Other number
We know that,
L.C.M x H.C.M = First Numbers x Second Numbers
2175 x 145 = 725 x Second Numbers
Second Numbers = `(2175 xx145)/725`
APPEARS IN
RELATED QUESTIONS
Determine the prime factorisation of each of the following positive integer:
58500
Determine the prime factorisation of each of the following positive integer:
45470971
Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = Product of the two numbers.
26 and 91
Find the LCM and HCF of the following integers by applying the prime factorisation method:
84, 90 and 120
Find the LCM and HCF of the following integers by applying the prime factorisation method:
24, 15 and 36
Can two numbers have 16 as their HCF and 380 as their LCM? Give reason.
Write down the decimal expansions of the following rational numbers by writing their denominators in the form 2m × 5n, where, m, n 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, m, n are non-negative integers.\[\frac{13}{125}\]
State Fundamental Theorem of Arithmetic.
Express the number as a product of its prime factor:
5005
Find the LCM and HCF of the following integers by applying the prime factorisation method.
17, 23 and 29
Find the least positive value of x such that 89 ≡ (x + 3) (mod 4)
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?
For some integer p, every even integer is of the form ______.
If two positive integers A and B can be expressed as A = xy3 and B = xiy2z; x, y being prime numbers, the LCM (A, B) is ______.
For some integer m, every even integer is of the form ______.
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 ______.
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?
