Arithmetics Questions From LCM&HCF SET-1

Arithmetics Questions From LCM&HCF 

প্রারম্ভিক গণিত বিষয়টি প্রতিযোগিতামূলক বিভিন্ন পরীক্ষায় একটি গুরুত্বপূর্ণ বিষয় । প্রায় প্রতিটি পরীক্ষাতেই গণিত থেকে কমবেশি প্রশ্ন আসে । প্রতিযোগিতামূলক পরীক্ষায় সাফল্যের মোড় ঘুরিয়ে দেওয়ার ক্ষেত্রে গণিত প্রশ্নগুলি ল্যান্ডমার্ক এর ভূমিকা পালন করে । তাই প্রস্তুতির প্রথম থেকে গণিতের প্রতি যত্ন নেওয়ার কাজ এগিয়ে নিয়ে যেতে এখন থেকেই প্র্যাকটিস করুন আমাদের সাথে । এখন থাকছে Arithmetics Questions From LCM&HCF

---

➣ Join : Our Telegram Channel

Arithmetics Questions From LCM&HCF 

⟽ Previous Post : Gender Awareness

1. Find the LCM of 12, 15, and 18.
Prime factorization:
12 = 2² × 3
15 = 3 × 5
18 = 2 × 3²
LCM = 2² × 3² × 5 = 180
✅ Answer: 180

2. Find the HCF of 24, 30, and 36.
Prime factorization:
24 = 2³ × 3
30 = 2 × 3 × 5
36 = 2² × 3²
HCF = 2 × 3 = 6
✅ Answer: 6

3. The LCM of two numbers is 120 and their HCF is 4. If one of the numbers is 24, find the other number.
Using the formula: LCM × HCF = Product of two numbers
120 × 4 = 24 × x
x = (120 × 4) / 24
x = 20
✅ Answer: 20

4. Find the LCM of 8, 12, and 16.
Prime factorization:
8 = 2³
12 = 2² × 3
16 = 2⁴
LCM = 2⁴ × 3 = 48
✅ Answer: 48

5. Find the HCF of 48, 60, and 72.
Prime factorization:
48 = 2⁴ × 3
60 = 2² × 3 × 5
72 = 2³ × 3²
HCF = 2² × 3 = 12
✅ Answer: 12

6. The product of two numbers is 120 and their HCF is 2. Find their LCM.
Using the formula: LCM × HCF = Product of two numbers
LCM × 2 = 120
LCM = 120 / 2
LCM = 60
✅ Answer: 60

7. Find the LCM of 10, 15, and 20.
Prime factorization:
10 = 2 × 5
15 = 3 × 5
20 = 2² × 5
LCM = 2² × 3 × 5 = 60
✅ Answer: 60

8. Find the HCF of 36, 48, and 60.
Prime factorization:
36 = 2² × 3²
48 = 2⁴ × 3
60 = 2² × 3 × 5
HCF = 2² × 3 = 12
✅ Answer: 12

9. The LCM of two numbers is 360 and their HCF is 6. If one of the numbers is 72, find the other number.
Using the formula: LCM × HCF = Product of two numbers
360 × 6 = 72 × x
x = (360 × 6) / 72
x = 30
✅ Answer: 30

10. Find the LCM of 12, 18, and 24.
Prime factorization:
12 = 2² × 3
18 = 2 × 3²
24 = 2³ × 3
LCM = 2³ × 3² = 72
✅ Answer: 72

11. Find the HCF of 24, 36, and 48.
Prime factorization:
24 = 2³ × 3
36 = 2² × 3²
48 = 2⁴ × 3
HCF = 2² × 3 = 12
✅ Answer: 12

12. The product of two numbers is 240 and their LCM is 120. Find their HCF.
Using the formula: LCM × HCF = Product of two numbers
120 × HCF = 240
HCF = 240 / 120
HCF = 2 Arithmetics Questions From LCM&HCF 
✅ Answer: 2

13. Find the LCM of 15, 20, and 30.
Prime factorization:
15 = 3 × 5
20 = 2² × 5
30 = 2 × 3 × 5
LCM = 2² × 3 × 5 = 60
✅ Answer: 60

14. Find the HCF of 50, 60, and 70.
Prime factorization:
50 = 2 × 5²
60 = 2² × 3 × 5
70 = 2 × 5 × 7
HCF = 2 × 5 = 10
✅ Answer: 10

15. The LCM of two numbers is 420 and their HCF is 7. If one of the numbers is 84, find the other number.
Using the formula: LCM × HCF = Product of two numbers
420 × 7 = 84 × x
x = (420 × 7) / 84
x = 35
✅ Answer: 35

16. Find the LCM of 8, 16, and 32.
Prime factorization:
8 = 2³
16 = 2⁴
32 = 2⁵
LCM = 2⁵ = 32
✅ Answer: 32

17. Find the HCF of 36, 48, and 60.
Prime factorization:
36 = 2² × 3²
48 = 2⁴ × 3
60 = 2² × 3 × 5
HCF = 2² × 3 = 12
✅ Answer: 12

18. The product of two numbers is 360 and their HCF is 3. Find their LCM.
Using the formula: LCM × HCF = Product of two numbers
LCM × 3 = 360
LCM = 360 / 3
LCM = 120  Arithmetics Questions From LCM&HCF 
✅ Answer: 120

19. Find the LCM of 12, 24, and 36.
Prime factorization:
12 = 2² × 3
24 = 2³ × 3
36 = 2² × 3²
LCM = 2³ × 3² = 72
✅ Answer: 72

20. Find the HCF of 48, 60, and 72.
Prime factorization:
48 = 2⁴ × 3
60 = 2² × 3 × 5
72 = 2³ × 3²
HCF = 2² × 3 = 12
✅ Answer: 12 ➣ Next Set

---