How do you find HCF and LCM GCSE?
To find the HCF, find any prime factors that are in common between the lists. Each list contains two 2s and one 3, so use these for the HCF. Cross any numbers used so far off the lists. To find the LCM, multiply the HCF by all the numbers in the lists that have not yet been used.
How do you do HCF GCSE?
In order to calculate the highest common factor for two or more numbers:
- State the product of prime factors for each number, not in index form.
- Write all the prime factors into the Venn diagram for each number.
- Multiply the prime factors in the intersection to find the HCF.
How do you find the LCM BBC Bitesize?
For example, 24 is a common multiple of 8 and 12, as 24 is in the 8 times tables ( 8 × 3 = 24 ) and 24 is in the 12 times tables ( 12 × 2 = 24 ). The lowest common multiple (LCM) is found by listing the multiples of each number and circling any common multiples. The lowest one is the lowest common multiple.
How do you solve for HCF and LCM?
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 HCF and LCM example?
It is also termed as the “Greatest Common Divisor” (GCD). For example, the HCF of 24 and 36 is 12, because 12 is the largest number which can divide both the numbers completely. Similarly, the least common multiple (LCM) of two or more numbers is the smallest number which is a common multiple of the given numbers.
How can you tell the difference between HCF and LCM word problems?
When we have to find a number larger than given numbers, then we find LCM. If we have to find smaller number, then we find HCF .
Whats the LCM of 15 and 25?
75
The LCM of 15 and 25 is 75.
What is the LCM of 5 10 and 15?
30
The LCM of 5, 10, and 15 is the product of all prime numbers on the left, i.e. LCM(5, 10, 15) by division method = 2 × 3 × 5 = 30.
What is the difference between highest common factor and lowest common multiple?
The greatest common factor (GCF) is the largest number that is a factor of two or more numbers, and the least common multiple (LCM) is the smallest number that is a multiple of two or more numbers. In this example, the least common multiple of 3 and 6 must be determined.