Determine The Smallest 3 Digit Number Which Is Exactly Divisible By 6

Determine The Smallest 3 Digit Number Which Is Exactly Divisible By 6 Now we will divide the smallest 3 digit number with the lcm obtained, and the remainder will be subtracted from the dividend, and 24 will be added to it to make it perfectly divisible. ∴ 100 24 = 4, remainder = 4. according to the above statement. = (100 – 4) 24 = 96 24 = 120. hence, the smallest 3 digit number which is exactly. We have to find the smallest $$3$$ digit multiple of $$24$$. it can be seen that $$24\times 4=96$$ and $$24\times 5=120$$. hence, the smallest $$3$$ digit number which is exactly divisible by $$6, 8$$ and $$12$$ is $$120$$.

Determine The Smallest 3 Digit Number Which Is Exactly Divisible By 6 Question from ncert maths class 6 chapter 3 exercise 3.7 question – 4 playing with numbers cbse, rbse, up, mp, bihar boardquestion text: determine the smal. We know that the smallest 3 digit number is 100. let's find the lcm of 6, 8, and 12 as shown below. as we can observe from the division method, lcm of 6, 8, and 12 is 2 × 2 × 2 × 3 = 24. thus, all the multiples of 24 will also be divisible by 6, 8, and 12. now we will divide the smallest 3 digit number with the lcm obtained, and the. Hence, the smallest 3 digit number which is exactly divisible by 6, 8 and 12 is 120. this is the required answer. note: in such types of questions it is always advisable to divide the final number by the given numbers to ensure that they are divisible by the final answer. so, 120 6 = 20l 120 8 = 15 120 12 = 10 120 6 = 20 l 120 8 = 15 120 12 = 10. Lcm of 6, 8 and 12 = 2×2×2×3 = 24. the smallest 3 digit number = 100. to find the smallest 3 digit number possible we have to look for smallest 3 digit multiples of 24. multiples of 24 = 24, 48, 72, 96, 120, 144 clearly, 120 is the smallest 3 digit multiple of 24. therefore, the required number is 120.