Question

Find the number closest to 10000 and divisible by 30, 45, and 15

Answer 1

Step-by-step explanation:

Given Find the number closest to 10000 and divisible by 30, 45, and 15

• Now we need to find the LCM of 30,45,15
•                3       30  45   15
•                5       10  15    5
•                           2    3     1
• So we get LCM as 3 x 5 x 2 x 3 = 90
• Now we need to divide 10,000 by 90 we get
•                     90 ) 10,000 (111
•                               90
•                  -------------------------
•                               100
•                                 90
•                ----------------------------
•                                 100
•                                   90
•             -----------------------------------
•                                    10
• So we get the Remainder as 10
• Now there will be two possibilities and so we get
• 10,000 – 10 = 9,990
• One more possibility will be
• 10,000 + (90 – 10)
• 10,000 + 80
• 10,080
• So the number closest to 10,000 will be 9,990      

Reference link will be

https://brainly.in/question/11919775