Advertisements
Advertisements
प्रश्न
The HCF of two numbers 65 and 104 is 13. If LCM of 65 and 104 is 40x, then the value of x is ______.
पर्याय
5
13
40
8
Advertisements
उत्तर
The HCF of two numbers 65 and 104 is 13. If LCM of 65 and 104 is 40x, then the value of x is 13.
Explanation:
The relationship between the highest common factor (HCF) and the least common multiple (LCM) of two numbers a and b is expressed by the formula:
`HCF(a, b) xx LCM(a, b) = a xx b`
`13 xx 40x = 65 xx104`
`40x = (65xx104)/13`
`40x = 520`
`x = 13`
APPEARS IN
संबंधित प्रश्न
Find the LCM and HCF of the following integers by applying the prime factorisation method.
12, 15 and 21
Determine the prime factorisation of each of the following positive integer:
20570
Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = Product of the two numbers.
26 and 91
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.\[\frac{129}{2^2 \times 5^7}\]
State Fundamental Theorem of Arithmetic.
Write the sum of the exponents of prime factors in the prime factorization of 98.
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is ______.
Statement A (Assertion): If product of two numbers is 5780 and their HCF is 17, then their LCM is 340.
Statement R (Reason): HCF is always a factor of LCM.
Find the HCF and LCM of 72 and 120.
(HCF × LCM) for the numbers 30 and 70 is ______.
