Advertisements
Advertisements
Question
Find the least number of five digits that is exactly divisible by 16, 18, 24 and 30.
Solution
LCM of 16, 18, 24 and 30:
LCM = 24 × 32 × 5 = 720
We have to find the least five-digit number that is exactly divisible by 16, 18, 24, and 30.
But LCM=720 is a three-digit number.
The least five-digit number = 10000
Dividing 10000 by 720, we get:
The greatest four-digit number exactly divisible by 720 = 10000-640 =9360
So, the least five-digit number exactly divisible by 720 =9360+720 =10080
APPEARS IN
RELATED QUESTIONS
9 8
+ 4 A
C B 3
Fill in the blanks:
On dividing 9 by 7, quotient = ____ and remainder = ____.
Fill in the blanks:
For every number, its factors are ______ and its multiples are ______
Reduce each of the following fraction to the lowest term:
`296/481`
Three pieces of timber, 42-m, 49-m and 63-m long, have to be divided into planks of the same length. What is the greatest possible length of each plank?
Find the HCF of
Two consecutive numbers
Find the HCF of
2 and an even number
Find the least number which when divided by 25, 40, and 60 leaves 9 as the remainder in each case.
Colour a rectangle made of 20 boxes in some other way.
In how many ways can you colour a rectangle of 20 boxes? Colour them all in the grid, and write the length and width of each rectangle you have coloured.
