Table of Contents
What 2 numbers have a LCM of 20?
The only pairs of (positive) whole numbers whose product is 20 are 2 and 10, and 4 and 5. (Easy to see from the prime factorization of 20 as 2 x 2 x 5.) Since the question asks for the pair with a common factor of 2 the answer is 2 and 10.
How do you find the HCF of a LCM?
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.
What is the LCM of 4 and 20?
20
What is the LCM of 4 and 20? Answer: LCM of 4 and 20 is 20.
How do you find the LCM of 20?
Steps to find LCM
- Find the prime factorization of 20. 20 = 2 × 2 × 5.
- Find the prime factorization of 20. 20 = 2 × 2 × 5.
- LCM = 2 × 2 × 5.
- LCM = 20.
What is the difference between the LCM and HCF of the numbers 20 30 and?
Now, the LCM (Least common multiple) in the above three equations are given by the common factor along with other factors. Similarly, the HCF (Highest common factor) in the above three equations is $ = 2 \times 5 = 10$. Therefore, the required answer – LCM and HCF of $20,30$ and $40$ are $120$ and $10$.
What is the relationship between HCF and LCM?
The relationship between HCF and LCM for two numbers is defined by the HCF and LCM formula given by: If in case you take the two numbers as m and n, then the HCF and LCM formula states that as below: Using the given above formulas, you can calculate the HCF or LCM if you know one of them and the two numbers. How to find HCF and LCM?
What is the LCM of two numbers?
Lowest Common Factor (LCM) Definition: LCM stands for Lowest or Least Common Multiple. In other words, the LCM of two or more numbers is the smallest positive integer divisible by all the given numbers. Example: Consider this as an example; the LCM of 12 and 15 is 60.
What is the LCM of 12 and 18 using long division?
Example: LCM of the numbers 12 and 18. So, after performing the long division method, you get the LCM of the number 12 and 18 = 2 × 3 × 2 × 3 = 36 LCM and HCF with Co-prime Numbers LCM of the Co – Prime numbers (m, n) = product of two numbers (m, n)
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.