English
Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10

Find the least number that is divisible by the first ten natural numbers

Advertisements
Advertisements

Question

Find the least number that is divisible by the first ten natural numbers

Sum
Advertisements

Solution

The least number that is divisible by the first ten natural numbers is 2520.

Hint:

1, 2, 3, 4, 5, 6, 7, 8, 9, 10

The least multiple of 2 & 4 is 8

The least multiple of 3 is 9

The least multiple of 7 is 7

The least multiple of 5 is 5

∴ 5 × 7 × 9 × 8 = 2520.

L.C.M is 8 × 9 × 7 × 5

= 40 × 63

= 2520

shaalaa.com
  Is there an error in this question or solution?
Chapter 2: Numbers and Sequences - Exercise 2.2 [Page 46]

APPEARS IN

Samacheer Kalvi Mathematics [English] Class 10 SSLC TN Board
Chapter 2 Numbers and Sequences
Exercise 2.2 | Q 9 | Page 46

RELATED QUESTIONS

Find the LCM and HCF of the following integers by applying the prime factorisation method:

40, 36 and 126


Find the LCM and HCF of the following integers by applying the prime factorisation method:

 84, 90 and 120


The HCF of two numbers is 145 and their LCM is 2175. If one number is 725, find the other.


Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = product of the two numbers.

336 and 54


Find the H.C.F. of 252525 and 363636


If p1x1 × p2x2 × p3x3 × p4x4 = 113400 where p1, p2, p3, p4 are primes in ascending order and x1, x2, x3, x4, are integers, find the value of p1, p2, p3, p4 and x1, x2, x3, x4


The ratio of LCM and HCF of the least composite and the least prime numbers is ______.


If LCM(x, 18) = 36 and HCF(x, 18) = 2, then x is ______.


Two numbers are in the ratio 2 : 3 and their LCM is 180. What is the HCF of these numbers?


Read the following passage:

Khushi wants to organize her birthday party. Being health conscious, she decided to serve only fruits in her birthday party. She bought 36 apples and 60 bananas and decided to distribute fruits equally among all.

Based on the above information, answer the following questions:

  1. How many guests Khushi can invite at the most?
  2. How many apples and bananas will each guest get?
    1. If Khushi decides to add 42 mangoes, how many guests Khushi can invite at the most?
      OR
    2. If the cost of 1 dozen of bananas is ₹ 60, the cost of 1 apple is ₹ 15 and cost of 1 mango is ₹ 20, find the total amount spent on 60 bananas, 36 apples and 42 mangoes.

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×