The LCM will be the product of the two numbers divided by 15.
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.
hcf(5, 15) = 5 lcm(5, 15) = 15.
The GCF is 3. The LCM is 120.
5 and 30, respectively.
225 and 15, respectively.
2 and 15 3 and 10 5 and 6
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.
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.
hcf(5, 15) = 5 lcm(5, 15) = 15.
9 & 15
5 and 75 15 and 25
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)
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.
HCF(315, 195) = 15 LCM(315, 195) = 4095
HCF is the highest common factor of two or more numbers. HCF of 9 and 15 is 3.
4
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.