Question

21. The difference between the LCM and HCF
of the numbers 30, 36 and 90 is​

Answer 1

Step-by-step explanation:

HCF

30/2. 36/2. 90/10

15/3. 18/2. 9/3

5/5. 9/3. 3/3

1. 3/3. 1

1

2*3*5

2*2*3*3

5*2*3*3

2*3=5

So 5 is the HCF of 30,36,90

30,36,90/3

10,12,30/3

10,4,10/2

5,2,5/5

1,2,1/2

1,1,1

Lcm = 3*3*2*5*2=9*10*2=90*2=180

So 180 is the Lcm of 30,36,90

Answer 2

HCM of 30,36,90

3×2×5=30

3×2×2×3=36

3×3×2×5=90

HCM=3×2=6

LCM=3×3×3×2×2×5×5=2700

therefore difference between LCM and HCF of the number 30,36,90 is 2700-6=2694