HCF is either equal to or less than the smallest number and LCM is either equal or more than the biggest number. If HCF is 24 then the smallest number is either 24 or more than the 24. So 48 and 72 are the numbers that have 24 as HCF and 144 as LCM.
What are the factors of 144 least to greatest?
Important Notes: The factors of composite number 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144. 144 is a square number. The prime factorization of 144 is 2 × 2 × 2 × 2 × 3 × 3.
What is the GCF of 144 and 84?
12
What is the greatest common factor of 84 and 144? Take the prime factors that are common to both numbers. Those are 3, 2 and 2. Therefore, the GCF of 84 and 144 is 12.
What could possibly be the two numbers if there HCF is 24 and LCM is 144?
So we have two pairs of numbers { 24, 144} and { 48 , 72} which have HCF as 24 and LCM 144.
Is there a link between GCF and LCM?
If you haven’t encountered it yet, there is a remarkable algebraic relationship or link between the Greatest Common Factor (GCF) and the Least Common Multiple (LCM) of two numbers. In this lesson, the numbers that we want are those belonging to the set of positive integers only.
Is the LCM of two numbers the same?
No, LCM of two numbers is not their product but the smallest common multiple between them, which can be divided by both the numbers completely. What is the LCM of 24 and 36?
Which is the greatest common factor in LCM?
For example, LCM (2,3) = 6 and LCM (6,10) = 30. The Greatest Common Factor (GCF) is also referred to as the Highest Common Factor (HCF) and Greatest Common Divisor (GCD). For two integers x and y, denoted GCF (x,y), the largest positive integer that divides evenly into two numbers with zero remainder.
Which is the LCM of 18 and 24?
For numbers 18 and 24 = 2 × 2 × 2 × 3 × 3 = 72 is the LCM. Example 2: Find the Least Common Multiples of these sets of numbers: 3, 9, 21. Step 1: List the prime factors of each.
