Question

Find the HCF:
i)28,42
ii)40,60
iii)35,45
iv)49,70
v)50,100

Find the LCM
i)10,15
ii)12,20
iii)25,35
iv)50,100
v)90,120

Please Answer Correctly ​

Answer 1

Answer:

here I have solved only H.C.F

Step-by-step explanation:

I am solving l.c.m ..but please mark me as brainliest

Answer 2

Answer:

HCF:

i) 14

ii) 20

iii) 5

iv) 7

v) 50

LCM:

i) 30

ii) 60

iii) 175

iv) 100

v) 360

Step-by-step explanation:

HCF:

i) The factors of 28 are: 1, 2, 4, 7, 14, 28

The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42

Then the greatest common factor is 14.

ii) The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40

The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Then the greatest common factor is 20.

iii) The factors of 35 are: 1, 5, 7, 35

The factors of 45 are: 1, 3, 5, 9, 15, 45

Then the greatest common factor is 5.

iv) The factors of 49 are: 1, 7, 49

The factors of 70 are: 1, 2, 5, 7, 10, 14, 35, 70

Then the greatest common factor is 7.

v) The factors of 50 are: 1, 2, 5, 10, 25, 50

The factors of 100 are: 1, 2, 4, 5, 10, 20, 25, 50, 100

Then the greatest common factor is 50.

LCM:

i) Multiples of 10:

10, 20, 30, 40, 50

Multiples of 15:

15, 30, 45, 60

Therefore,

LCM(10, 15) = 30

ii) Multiples of 12:

12, 24, 36, 48, 60, 72, 84

Multiples of 20:

20, 40, 60, 80, 100

Therefore,

LCM(12, 20) = 60

iii) Multiples of 25:

25, 50, 75, 100, 125, 150, 175, 200, 225

Multiples of 35:

35, 70, 105, 140, 175, 210, 245

Therefore,

LCM(25, 35) = 175

iv) Multiples of 50:

50, 100, 150, 200

Multiples of 100:

100, 200, 300

Therefore,

LCM(50, 100) = 100

v)  Multiples of 90:

90, 180, 270, 360, 450, 540

Multiples of 120:

120, 240, 360, 480, 600

Therefore,

LCM(90, 120) = 360