Advertisements
Advertisements
प्रश्न
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is ______.
पर्याय
10
100
504
2520
Advertisements
उत्तर
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is 2520.
Explanation:
Factors of numbers from 1 to 10
1 = 1
2 = 1 × 2
3 = 1 × 3
4 = 1 × 2 × 2
5 = 1 × 5
6 = 1 × 2 × 3
7 = 1 × 7
8 = 1 × 2 × 2 × 2
9 = 1 × 3 × 3
10 = 1 × 2 × 5
∴ LCM of numbers from 1 to 10
= LCM(1, 2, 3, 4, 5, 6, 7, 8, 9,10)
= 1 × 2 × 2 × 2 × 3 × 3 × 5 × 7
= 2520
APPEARS IN
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.
Consider the number 6n where n is a natural number. Check whether there is any value of n ∈ N for which 6n is divisible by 7.
Check whether 6n can end with the digit 0 for any natural number n.
Determine the prime factorisation of each of the following positive integer:
20570
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.\[\frac{129}{2^2 \times 5^7}\]
Write the exponent of 2 in the price factorization of 144.
Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = product of the two numbers.
336 and 54
The sum of the exponents of the prime factors in the prime factorization of 1729 is
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.
When a number is divided by 7, its remainder is always ______.
For some integer m, every even integer is of the form ______.
If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is ______.
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 ______.
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 ______.
Can two numbers have 18 as their HCF and 380 as their LCM? Give reasons.
The prime factorisation of the number 5488 is ______.
National Art convention got registrations from students from all parts of the country, of which 60 are interested in music, 84 are interested in dance and 108 students are interested in handicrafts. For optimum cultural exchange, organisers wish to keep them in minimum number of groups such that each group consists of students interested in the same artform and the number of students in each group is the same. Find the number of students in each group. Find the number of groups in each art form. How many rooms are required if each group will be allotted a room?
