find the largest 4 digit number which is divisible from 22
Answers
Answer:
9720.
Here is a step - by - step procedure to find the greatest four digit number that is exactly divisible by 15,24,36.
Find the LCM (Least common multiple) of 15, 24, 36. Any number divisible by the LCM of the 15,24,36 will be divisible by each of 15,24,36.
To find LCM, write each number as a product of its prime factors.
15=3∗5 ———————————————15 has one 3 and one 5.
24=2∗2∗2∗3 ———————————24 has three 2’s and one 3.
36=2∗2∗3∗3 ———————————36 has two 2’s and two 3’s.
To get the LCM: Multiply each factor the greatest number of times it occurs in any of the numbers.
There are 3 factors : 2,3,5
The greatest number of times 2 occurs in the numbers (15, 24, 36) : Three
The greatest number of times 3 occurs in the numbers (15, 24, 36) : Two
The greatest number of times 5 occurs in the numbers (15, 24, 36) : One
LCM =2∗2∗2∗3∗3∗5=360
Step-by-step explanation:
Answer:
8888 Is The Answer