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How do you Find a pair of numbers whose LCM is 75 and whose GCF is 5?
75 = 3*5*5, so the first pair that comes to mind is 3*5 and 5*5.LCM(15, 25) = 75.And it conveniently happens to be that GCD*(15, 25) = 5.So {15, 25} is the answer (at least an answer).*GCD is "Greatest Common Divisor" and a more official way of saying GCF.* * * * *Yes, it is an answer.Consider LCM/GCF = 75/5 = 15If p and q are any two coprime factors of LCM/GCF = 15, then p*GCF and q*GCF will be an answer.The above answer used p = 3 and q = 5.The other possible pair is p = 1 and q = 15 which gives the pair as 5 and 75.
What is the gcf of 9 and 24 and 36?
The GCF is 3.
What is the least common multiple of 3 and 12?
The least common multiple (LCM) of 3 and 12 is 12. Because 12 is a factor of 3, it is automatically the LCM of the set.You can also find the LCM by listing the multiples of each number in the set, and finding the lowest one in each list.The multiples of 3 are 3, 6, 9, 12, and so on.The multiples of 12 are 12, 24, and so on.So the LCM is 12.Another method is dividing the product of the pair of numbers by their GCF.The product of 3 and 12 is 36.The GCF of 3 and 12 is 3. (Since 3 is a factor of 12, it is automatically the GCF of the set).So the LCM is 36/3 = 12.The least common multiple is the smallest number that all the numbers are a factor of. In this case it's 12. This is because 12x1=12 and 3x4=12.The LCM is 12.
Why is the product of the LCM and HCF the same as the product of the original pair of numbers?
It's the way numbers work. Consider 32 and 33. Consecutive integers are relatively prime, that is, their GCF is 1. If two numbers have a GCF of 1, the LCM will be their product. 32 x 33 = 1056 1 (GCF) x 1056 (LCM) = 1056 2 x 528 = 1056 3 x 352 = 1056 4 x 264 = 1056 Notice the pattern. As the GCF increases, the LCM decreases. Consider 32 and 34. Consecutive even numbers have a GCF of 2. The LCM of 32 and 34 is 544. 32 x 34 = 1088 2 (GCF) x 544 (LCM) = 1088 If you know either the GCF or the LCM of two numbers, you can find the other one without factoring again. The GCF of 28 and 36 is 4. Their product is 1008. Their LCM is 1008 divided by 4, or 252.
Im thinking of 2 numbers 12 and another number have a greatest common factor 6 and their least common multiple is 3 what is the number?
The LCM can't be less than the GCF. 12 and 18 have a GCF of 6 and an LCM of 36.
What is the pair of numbers if the LCM is 36 and the GCF is 3?
3 and 36 9 and 12
Find a pair of numbers for LCM equals 36 and GCF equals 3?
9 and 12
Find a pair of numbers that's LCM equals 36 and GCF equals 3?
9 and 12
What is the LCM and GCF of 9 and 12?
36 and 3, respectively.
What are two numbers that have a gcf of 36 and the LCM 3?
This is an impossible set of numbers. If the LCM was 36, and the GCF was 3, then the numbers would be 6X6.
Possible numbers for LCM 36 GCF 3?
3 and 36
What two numbers have a LCM of 36and a GCF of 3?
3 and 36
What pair of numbers have an LCM of 36 and a gfc of 3?
3 and 36 9 and 12
What number pair has a gcf of 3 and LCM of 90?
3 and 90 15 and 18
What is the LCM of 36 and 33?
The Least Common Multiple of 33, 36: 396To get the LCM, you need the GCF 33 factors to [3 11]36 factors to [2 2 3 3]Common factors [3]GCF = 3LCM = product divided by the GCF33 * 36 / 3 = 396 â–
What is the GCF and LCM of 3 and 9?
Gcf=3, lcm=9
What is the LCM of 3 9 and 36?
The least common multiple (LCM) of 3, 9, and 36 is 36.
