Page 40 - SM Class 5 Inner.cdr

Example 16 :
Highest common factor and lowest common multiple of two numbers are 18
and 1782 respectively. One number is 162, find the other.

Solution : We know, H.C.F. × L.C.M. = First number × Second.
Number then we get,
18 × 1782 = 162 × Second number
18 × 1782/162 = Second number

Example 17 :
The highest common factor and the lowest common multiple of two
numbers are 825 and 25 respectively. If one of the two numbers is 275, find
the other number.
Solution : We know, H.C.F. × L.C.M. = First number × Second number.

Then we get,
825 × 25 = 275 × Second number
825 × 25/275 = Second number

E xercise 3.6

1. If HCF of two numbers is 8 and LCM is 112 and one of the numbers is 16,
find the other number.

2. The product of two numbers is 729 and their HCF is 9. Find the L.C.M. of
the numbers.
3. Find the products of two numbers whose HCF is 24 and LCM is 432.

Chec
our Prog
k Y
Check Your Progress
ess
r
1. Find the highest common factor and least common multiple of the following
pairs of numbers :

a. 576 and 1440 b. 265 and 325 c. 496 and 1116
d. 1000 and 1125 e. 676 and 650

2. Solve thse Word problems :
a. The product of two numbers is 120. If their H.C.F. is 6 what is their

L.C.M.
b. Find the smallest number which, on being added 23 to it, is exactly

divisible by 32, 36, 48 and 96. ( Hint : Find the L.C.M.)
c. Find the least length of a rope which can be cut into whole numbers of

pieces of lengths 45 cm, 75 cm and 81 cm. ( Hint : Find the L.C.M.)
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Mathematics In Focus - 5