Question

for each of the following pairs of number verify that product of number is equal to the product oe their hcf and lcm. 1. 10,15 2.35,40 3. 32,48


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Answer 1

Step-by-step explanation:

1. Numbers are 10 and 15:

LCM of 10 and 15 =

10 = 2*5

15 = 3*5

LCM = 2*3*5 = 30

HCF of 10 and 15 =

10 = 2*5

15 = 3*5

HCF of 10 and 15 = 5

products of given numbers = 10*15 = 150

product of HCF and LCM = 30*5 = 150

hence proved

2.Numbers are 35 and 40 :

LCM of 35 and 40 =

35 = 5*7

40 = 5*8

LCM = 5*7*8 = 280.

HCF of 35 and 40 =

35 = 5*7

40 = 5*8

HCF = 5

product of numbers = 40*35 = 1400

products of LCM and HCF = 280*5 = 1400

hence proved

3: number are 32 and 48

LCM of 32 and 48 =

32 = 2*2*2*2*2

48 = 2*2*2*2*3

LCM = 96

HCF of 32 and 48 =

32 = 2*2*2*2*2

48 = 2*2*2*2*3

HCF = 16

product of numbers = 32*48 = 1536

product of HCF and LCM = 96*16 = 1536

Hence proved

Hope it will be helpful for you.