Divide the smallest 3 digit number by the given numbers using the long division method .check the answer A 2 B 4 C 5
Answers
Answer:
The smallest 3-digit number which is exactly divisible by 6,8 and 12 is 120
Step-by-step explanation:
The Least Common Multiple (LCM) is a way of finding the smallest common multiple between any two numbers or more. A common multiple is a multiple of two numbers or more. LCM denotes the less common or multiple factors of any two or more given integers.
Need to find: The smallest number exactly divisible by 6, 8 and 12
Let us determine the LCM of 6, 8, 1 2
Common Multiples of 6: 6,12,18,24,30,36,42…..
Common Multiples of 8: 8,16,24,32,40,48,54……
Common Multiples of 12: 12,24,36,48,60,72,…
We note that 2, 4 is the least common multiple of 6,8 and 12
We have to find the smallest 3 -digit multiple of 24.
Also 24 × 4 = 96 and 24 ×5 = 120.
The smallest 3-digit number which is exactly divisible by 6,8 and 12 is 120.