Advertisements
Advertisements
प्रश्न
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is ______.
विकल्प
10
100
504
2520
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
State fundamental theorem of arithmetic?
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. \[\frac{3}{8}\]
If m, n are natural numbers, for what values of m, does 2n × 5m ends in 5?
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?
According to the fundamental theorem of arithmetic, if T (a prime number) divides b2, b > 0, then ______.
Explain why 3 × 5 × 7 + 7 is a composite number.
Show that 12n cannot end with the digit 0 or 5 for any natural number n.
The LCM of smallest 2-digit number and smallest composite number is ______.
(HCF × LCM) for the numbers 70 and 40 is ______.
The prime factorisation of the number 5488 is ______.
