How do you do LCM and HCF problems?
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.
How do you calculate HCF GCSE?
The highest common factor (HCF) is found by finding all common factors of two numbers and selecting the largest one. For example, 8 and 12 have common factors of 1, 2 and 4. The highest common factor is 4. Find the highest common factor of 9 and 21.
What is the example of HCF and LCM?
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 find LCM and HCF using a factor tree?
Using prime factors to find the HCF and LCM
- Numbers can be broken down into prime factors using prime factor trees.
- Find the HCF and LCM of 24 and 180.
- Cross any numbers used so far off from the products.
- To find the LCM, multiply the HCF by all the numbers in the products that have not yet been used.
How do you find the LCM problem?
Find the LCM using the prime factors method
- Find the prime factorization of each number.
- Write each number as a product of primes, matching primes vertically when possible.
- Bring down the primes in each column.
- Multiply the factors to get the LCM.
How do you calculate HCF?
HCF of two or more numbers is the highest common factor of the given numbers. It is found by multiplying the common prime factors of the given numbers. Whereas the least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers.
Where is HCF and LCM used?
What are Applications of LCM and HCF. To split things into smaller sections. To equally distribute any number of sets of items into their largest grouping. To figure out how many people we can invite.
What does HCF and LCM mean in maths?
Highest common factors and lowest common multiples using prime factors. In some questions the highest common factor (HCF) or lowest common multiple (LCM) of two large numbers may need to be found.
What is the difference between HCF and LCM?
HCF and LCM The full forms of H.C.F. and L.C.M. are, Highest Common factor and Least Common Multiple, respectively. 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.
Where do you put the HCF and LCM in a factor tree?
Any common factors should be placed in the intersections of the circles. The highest common factor ( HCF) is found by multiplying together the numbers in the intersection of all three of the circles. The lowest common multiple ( LCM) is found by multiplying together the numbers from all sections of the circles.
How is the highest common factor ( HCF ) found?
The highest common factor (HCF) is found by multiplying together the numbers in the intersection of all three of the circles. The lowest common multiple (LCM) is found by multiplying together the numbers from all sections of the circles.
How to find the LCM in a list of factors?
Looking at the lists of factors, if one is shared by both numbers, then we will put it in the intersection and cross it off both lists. Then, any factors that aren’t shared, and so haven’t been crossed out, will be put in their respective circles. To find the LCM, all we need to do is multiply all the numbers now in the Venn diagram together:
