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What are the lcm of 30 and 75?
To find the LCM of two numbers, you first split them into their prime factors: 30 = 2x3x5 75 = 3x5x5 Next you need to work out the HCF. Here, the HCF will be 3x5 = 15. Finally, you multiply the numbers together and divide by the HCF. 30x75/15 = 150. Therefore the LCM of 30 and 75 is 150.
What is the hcf and lcm of 5 and 15?
hcf(5, 15) = 5 lcm(5, 15) = 15.
What is the HCF and LCM of 12 and 15 and 24?
The GCF is 3. The LCM is 120.
What is the hcf and the LCM of 10 and 15?
5 and 30, respectively.
What is the LCM and the GCF of 45 and 75?
225 and 15, respectively.
What two numbers have the LCM of 30 and a HCF of 1?
2 and 15 3 and 10 5 and 6
What are the lcm of 30 and 75?
To find the LCM of two numbers, you first split them into their prime factors: 30 = 2x3x5 75 = 3x5x5 Next you need to work out the HCF. Here, the HCF will be 3x5 = 15. Finally, you multiply the numbers together and divide by the HCF. 30x75/15 = 150. Therefore the LCM of 30 and 75 is 150.
How do you find the LCM of 15 and 18?
Factors: 15 = 3 x 5, 18 = 2 x 3 x 3. The LCM of two numbers = their product divided by their HCF. In this instance the product is 270 and the HCF is 3 so the LCM is 90.
What is the hcf and lcm of 5 and 15?
hcf(5, 15) = 5 lcm(5, 15) = 15.
What 2 numbers have the LCM of 45 and the HCF of 3?
9 & 15
What are 2 numbers that have an LCM of 75 and HCF of 5?
5 and 75 15 and 25
What 2 pair of numbers whose LCM is less than the product of the 2 numbers?
Any two numbers that have a common factor greater than 1 will have a LCM less than their product, eg: LCM(10, 15) = 30 < 10 x 15 = 150 (since HCF(10, 15) = 5) LCM(6, 10) = 30 < 6 x 10 = 60 (since HCF(6, 10) = 2) LCM(18, 27) = 54 < 18 x 27 = 486 (since HCF(18, 27) = 9)
Can any number have 15 as their HCF and 175 as their LCM?
No.-------------------------------------------------------------To find the HCF and LCM of two (or more) numbers list the numbers in their prime factorisations in power format; then:HCF = product of the primes to the LOWEST power across all the numbers;LCM = product of the primes to the HIGHEST power across all the numbers.Note: for p being any prime, p⁰ = 1; so if a prime does not appear as a factor of a number, it can be said to have a power of 0. This means that the LOWEST power is 0 and the prime does not appear in the HCF of the numbers. The HIGHEST power of a prime must be at least the LOWEST power of a prime.Thus if a prime appears in the HCF of the numbers (with a power greater than or equal to 1) it MUST also appear in the LCM of the numbers.If the HCF of some numbers is 15, then: 15 = 3 × 5 which means that the primes 3 and 5 MUST both apear in the LCM.But 175 = 5² × 7, which does NOT include 3, so 175 CANNOT be the LCM of some numbers which have a HCF of 15.
What is the HCF and LCM of 315 and 195?
HCF(315, 195) = 15 LCM(315, 195) = 4095
What is the hcf of 9 15?
HCF is the highest common factor of two or more numbers. HCF of 9 and 15 is 3.
Can you always find the LCM of 2 numbers by multiplying them and then divided them by 2?
4
What is HCF and LCM of 30 and 45?
To find the HCF you first need to break the numbers down into their prime factors. In this case we have: 30 = 2x3x5 45 = 3x3x5 The next step is to identify any common factors. In this case both numbers have 3 and 5 as prime factors. To find the HCF, multiply these together: 3x5 = 15. To get the LCM, multiply the numbers together then divide by the HCF: 30x45/15 = 90.
