Sage-Tips

How do you find the LCM when given HCF?

The formula that shows the relationship between their LCM and HCF is: LCM (a,b) × HCF (a,b) = a × b. For example, let us take two numbers 12 and 8. Let us use the formula: LCM (12,8) × HCF (12,8) = 12 × 8. The LCM of 12 and 8 is 24; and the HCF of 12 and 8 is 4.

Can two numbers have 16as their HCF and 480 as their LCM?

Answer: Two numbers with both H.C.F. as 16 and L.C.M. as 380 is not possible. must be exactly divisible by 16 as their H.C.F.

What is the LCM of 28 and 42?

84
Answer: LCM of 28 and 42 is 84.

What is the LCM of 28 and 32?

224
Answer: LCM of 28 and 32 is 224.

What are 24 factors?

Question 4 therefore, the factors of 24 are 24 = 1, 2, 3, 4, 6, 12 and 24.

What is the HCF and lcm of 24 and 48?

2- 24 and 48: HCF is 24 but LCM is 48. Hence the numbers are 24 and 96. Since 24 is the HCF of the two numbers, the two numbers must be multiples of 24 – i.e. 24,48,72,96 etc. However, the LCM of the two numbers is 96 and hence the two numbers must also be factors of 96 – 1,2,4,6,8,12,16,24,48,96.

How do you find the product of HCF and LCM?

The formula which involves both HCF and LCM is: Product of Two numbers = (HCF of the two numbers) x (LCM of the two numbers) Say, A and B are the two numbers, then as per the formula; A x B = H.C.F.

Can two numbers have 16 as their HCF and LCM?

Answer. There cannot be two numbers having 16 as their HCF and 380 as their LCM. Reason: We know that the product of two numbers is equal to the product of their LCM and HCF. Let the two numbers be a and b. Then, a x b = HCF x LCM. a x b = 16 x 380.

What is the sum of two numbers with HCF = 24?

If sum of the numbers is 480, Given: HCF = 24 Sum of two number = 480 Concept used: If the number is 24a and 24b, then a and b will be prime number Calculation: Let the number be 24a a Start Learning