Question

Find the smallest number which when divided by 15,18and 20 will in each case leaves 7 as remainder

Answer 1

16-#-#+#&#: cBnUajagafamafab

Answer 2

SOLUTION

TO DETERMINE

The smallest number which when divided by 15 , 18 and 20 will in each case leaves 7 as remainder

EVALUATION

In order to find the smallest number which when divided by 15 , 18 and 20 will in each case leaves 7 as remainder we need to find LCM of 15 , 18 and 20 and then to add 7 with the LCM

Here the given numbers are 15 , 18 and 20

We prime factorise the given numbers

15 = 3 × 5

18 = 2 × 3 × 3

20 = 2 × 2 × 5

LCM = 2 × 2 × 3 × 3 × 5 = 180

Hence the required number

= 180 + 5

= 185

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ If HCF of two numbers be 40 then which of the following cannot be their LCM.

https://brainly.in/question/28609013

2. The HCF and LCM of two numbers are 17 & 1666 respectively. if one of the numbers is 119 find the other

https://brainly.in/question/13812250