What is LCM and HCF with examples?
Example: The LCM of 60 and 72 is 2×2×2×3×3×5, which is 360. The highest common factor (HCF) is found by multiplying all the factors which appear in both lists of factors of the numbers. Example: The HCF of 60 and 72 is 2×2×3, which is 12.
How do you explain HCF and LCM?
The full form of LCM in Maths is Least Common Multiple, whereas the full form of HCF is the Highest Common Factor. The H.C.F. defines the greatest factor present in between given two or more numbers, whereas L.C.M. defines the least number which is exactly divisible by two or more numbers.
What is HCF in maths with examples?
HCF : The largest number that divides two or more numbers is the highest common factor (HCF) for those numbers. For example, consider the numbers 30 (2 x 3 x 5), 36 (2 x 2 x 3 x 3), 42 (2 x 3 x 7), 45 (3 x 3 x 5). 3 is the largest number that divides each of these numbers, and hence, is the HCF for these numbers.
What is HCF and LCM Class 10?
HCF is the product of all prime factors COMMON to the two numbers. The product of the two numbers is the product of all prime factors of the two numbers. To get the LCM, one instance of the prime factors in HCF must be dropped from the set of all prime factors in the product of two numbers.
What is the HCF of 24 and 36?
12
Thus the HCF of 24 and 36 is 12.
What is LCM divided by HCF?
Property 1. The product of LCM and HCF of any two given natural numbers is equivalent to the product of the given numbers. Suppose A and B are two numbers, then. Example: If 3 and 8 are two numbers.
What is the HCF of 64?
64 = 1 × 2 × 2 × 2 × 2 × 2 × 2. 80 = 1 × 2 × 2 × 2 × 2 × 5. Common factor of 64 and 80 = 1, 2, 2, 2, 2. Highest common factor of 64 and 80 = 2 × 2 × 2 × 2 = 16.
What is the HCF of 18 and 48?
6
Answer: HCF of 18 and 48 is 6.
What is the HCF of 48?
The HCF of 48 and 54 is 6. To calculate the Highest common factor of 48 and 54, we need to factor each number (factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48; factors of 54 = 1, 2, 3, 6, 9, 18, 27, 54) and choose the highest factor that exactly divides both 48 and 54, i.e., 6.
Which is an example of a HCF and LCM formula?
HCF and LCM Examples 1 Prove that LCM (9 and 12) x HCF (9 and 12) = Product of 9 and 12 Sol: First we will factorise 9 and 12: 9 = 3 x 2 Given 8 and 9 are Two Co-prime Numbers. Using these Numbers, Verify LCM of Co-prime Numbers = Product of the Numbers. 3 Find the HCF of 12 25, 9 10, 18 35, 21 40
Which is the highest common factor in LCM?
Definition of LCM and HCF We know that a number’s factors are the exact divisors of that number. The highest common factor (H.C.F.) and the least common multiple (L.C.M.) will be discussed next (L.C.M.). HCF meaning is Highest Common Factor.
How to find the HCF and lcm of 180 and 24?
Example 1. Find the HCF and LCM of 180 and 24 using prime factorization. The HCF is the product of the common prime factors of the given numbers. Therefore, the HCF of 180 and 24 is 2 × 2 × 3 = 12. Therefore, the LCM of 180 and 24 = 360.
Which is the highest common factor in HCF?
For instance, take 8 and 12, the gcd of these two numbers or the HCF of two numbers will be 4. Since this greatest common divisor or GCD is also known as the highest common factor or HCF.