Table of Contents
Which of the following pair of numbers have 24 as their HCF?
So, HCF of 18 and 24 is 6.
How do you find LCM with HCF and product?
For example: Find HCF and LCM of 9 and 12. And verify HCF × LCM = Product of the two numbers. Product of 9 and 12 = 9 x 12 = 108. Hence, HCF(9, 12) × LCM(9, 12) = Product of 9 and 12.
How do you find the HCF of a pair of numbers?
The highest common factor is found by multiplying all the factors which appear in both lists: So the HCF of 60 and 72 is 2 × 2 × 3 which is 12. The lowest common multiple is found by multiplying all the factors which appear in either list: So the LCM of 60 and 72 is 2 × 2 × 2 × 3 × 3 × 5 which is 360.
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.
What is the LCM divided by the HCF?
The LCM divided by the HCF is 12, which factors to 2 2 ⋅ 3. That means one of the numbers has and additional 2 factors of 2, and one of the numbers has an additional factor of 3. Starting with the HCF, we know both of them have 1 factor of 2, so I will list those:
What is the smallest possible pair of numbers between HCF and Union?
Intersection = HCF and Union = LCM $$6 = 2 imes 3$$ $$15 = 3 imes 5$$ Intersection $= 2,3$ Union $= 2,3,5$ Therefore a possible pair when separated out correctly could be: $$a = 2 imes 3$$ $$b = 2 imes 3 imes 5$$ This is probably the smallest possible pair of such numbers.
What is the HCF and lcm of 25 35 and 45?
From the above expression, we can say 5 is the only common factor for all the three numbers. Therefore, 5 is the HCF of 25, 35 and 45. Example: Find the Least Common Multiple of 36 and 44. Solution: Given, two numbers 36 and 44. Let us find out the LCM, by division method.