CBSE Class 10 Answered
The least number that is divisible by all the numbers from 1 to 10 (both inclusive)
Asked by arajeevshashank | 04 Apr, 2020, 04:07: PM
Expert Answer
We know that any given number is always divisible by 1.
So, we will find the prime factorisation of each number from 2 to 10.
2 = 2 × 1
3 = 3 × 1
4 = 2 × 3
5 = 5 × 1
6 = 2 × 3
7 = 7 × 1
8 = 2 × 2 × 2 = 23
9 = 3 × 3 = 32
10 = 2 × 5
LCM= 23 × 32 × 5 × 7 = 2520
Therefore, the least number that is divisible by all the numbers from 1 to 10 (both inclusive) is 2520.
Answered by Yasmeen Khan | 04 Apr, 2020, 04:47: PM
Application Videos
Concept Videos
CBSE 10 - Maths
Asked by bhaskrraobhaskrrao | 18 Jan, 2024, 08:35: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by dramu8989 | 02 Dec, 2023, 09:15: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by poornimam227 | 30 Nov, 2023, 05:24: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by priyanshuaryan895 | 08 Nov, 2023, 07:18: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by ruchipandey20071978 | 07 May, 2023, 01:23: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by susrisangita792 | 22 Apr, 2023, 09:13: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by susrisangita792 | 22 Apr, 2023, 08:52: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by susrisangita792 | 20 Apr, 2023, 08:05: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by susrisangita792 | 19 Apr, 2023, 08:27: AM
ANSWERED BY EXPERT