7 grade maths
HCF of (26, 169) = 13. Then LCM of (26, 169) is
- A) 26
- B) 52
- C) 338
- D) 13
HCF of (26, 169) = 13. Then LCM of (26, 169) is
- A) 26
- B) 52
- C) 338
- D) 13
1 Answer
Askiitians Tutor Team
Approved Tutor Answer10 Months agoTo find the Least Common Multiple (LCM) of the numbers 26 and 169, we can use the relationship between the Highest Common Factor (HCF) and LCM. The formula is:
Formula for LCM
LCM(a, b) = (a * b) / HCF(a, b)
Given Values
- HCF(26, 169) = 13
- a = 26
- b = 169
Calculating LCM
Now, plug the values into the formula:
LCM(26, 169) = (26 * 169) / 13
Step-by-Step Calculation
- First, calculate 26 * 169 = 4394
- Next, divide by 13: 4394 / 13 = 338
Final Answer
The LCM of 26 and 169 is 338. Therefore, the correct option is C) 338.
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