find the least number, which I'd being increased by unity, will be exactly divisible by 56,67,72and 80.
Answers
Answer:
Answer is 1
Step-by-step explanation:
As if you will increase it by unity it will be 2 which will be divisible by both the numbers.
Answer:
To Find the least number being increased by k will be exactly divisible by x, y and z.
¶¶¶ APPROACH TO PROBLEM :
• Find LCM(x,y,z)
Since, The least Number divisible by x,y & x is the LCM(x,y,z)
• The Required least No. which when increased by k becomes exactly divisible by x, y & z = LCM(x,y,z) - k
¶¶¶ SOLUTION :
Given,
w, x, y & z = 22, 17, 33, 34
- Find LCM(22, 17, 33, 34):
2 | 22, 17, 33, 34
11 | 11 , 17, 33, 17
17| 1, 17, 3, 17
.• | 1, 1, 3, 1
•°• LCM(22, 17, 33, 34) = 1122
- Required Least No. = 1122 - 1 = 1121
Therefore,
The Number 1121 is the least Number which when increased by 1, gets exactly divisible by 22, 17, 33, 34.
please mark it as brainlist