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Factorize the LCM
20 = 2 x 2 x 5
Factorize the HCF
300 = 2 x 2x3x5x5
The HCF is the common factor for both numbers whereas the LCM contains all the unique factors of both numbers.
So, 2 x 2x5 or 20 is a common factor for both numbers.
The factors remaining are 3 and 5.
So, 3 is a factor of one number and 5 is the factor of the second number.
The first number = 20x 3 = 60
The second number = 20x 5 = 100
So 60 and 100 are two numbers
Answer = 60 and 100
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How do you find sets of two numbers if HCF and LCM are known?
You cannot. The numbers 2 and 12 have hcf = 2 and LCM = 12 The numbers 4 and 6 also have hcf = 2 and LCM = 12 So if you just knew the hcf and LCM you would not know which of the two was the required pair.
What is the HCF and LCM of 18 and 42?
The LCM is: 126
What is the LCM 10z and 20z?
To find the LCM, you first need to express the numbers as the product of their prime factors. In this case: 10z = 2x5xz 20x = 2x2x5xz The next step is to identify the HCF. In this case that's 2x5xz = 10z. Then you multiply the numbers together and divide by the HCF: 10z x 20z/10z = 20z Thus the LCM of 10z and 20z is 20z.
What is the LCM of 15 25 100?
The LCM is 300.
What is the LCM of 15 and 30 and 50 and 100?
The LCM is 300.
Can the HCF of two numbers be a factor of their LCM?
The HCF is always a factor of the LCM of two numbers. The HCF is a factor of both the numbers which are factors of their LCM. Thus the HCF is also a factor of the LCM of the two numbers.
What is the gcf and LCM of 180 and 300?
GCF is 60, LCM is 900
What is the HCF and LCM of the numbers 526 and 213?
hcf: 1 lcm: 112,038
Can HCF and LCM of two numbers be 27 and 288?
No. The LCM MUST be a multiple of the HCF.
What numbers have a HCF of 3 and a LCM of 3?
Two or more numbers are needed to solve for HCF or LCM.
The LCM of two numbers is twice their HCF?
5 and 10 lcm- 10 and hcf= 5
How do you find sets of two numbers if HCF and LCM are known?
You cannot. The numbers 2 and 12 have hcf = 2 and LCM = 12 The numbers 4 and 6 also have hcf = 2 and LCM = 12 So if you just knew the hcf and LCM you would not know which of the two was the required pair.
If the HCF and LCM of two numbers are 17 and 102 respectively and the HCF and LCM of two other numbers are 68 and 476 respectively then find the sum of the HCF and LCM of these four numbers?
HCF of 17 and 68 is 17 ..( Lowest Prime factor ) LCM Of 102 and 476 is 7*2^2*3*17 which is 1428 .. ==> Sum of HCF and LCM are 1428+17= 1445 .
If the product oftwo numbers is 810 if there HCF IS 9 FIND LCM?
if the product of two numbers is 810 if there hcf is 9 find Lcm
Can two numbers have 16 as their HCF and 380 as their LCM?
LCM = product/HCF so product = LCM/HCF in this case 380/16 which is 23.75, so the answer to your question is no.
How would you explain the LCM of the two numbers is their product?
The LCM of two numbers is their product if and only if the two numbers are co prime, that is their HCF is 1. Otherwise their LCM in not their product, in fact, it is their product divided by their HCF.
What is the lowest common multiple of 60 and 100?
To find the LCM you first have to break the numbers into their prime factors: 60 = 2x2x3x5 100 = 2x2x5x5 The next step is to identify the HCF. In this case it's 2x2x5 = 20. Finally, you multiply the numbers together and divide by the HCF: 60x100/20 = 300 Therefore the LCM of 60 and 100 is 300.
