If the least common multiple (LCM) of two numbers is 36 and the greatest common factor (GCF) is 3, then the two numbers can be found by multiplying the GCF by the LCM. In this case, the pair of numbers would be 3 and 36, as 3 * 36 = 108.
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Oh, isn't that just a happy little math problem? If the LCM is 36 and the GCF is 3, we can find the pair by multiplying the LCM and GCF together. So, 36 multiplied by 3 gives us 108. Therefore, the pair is 36 and 3. Happy math-ing!
Well, honey, if the LCM is 36 and the GCF is 3, then the pair of numbers we're looking for is 12 and 36. Why? Because 12 and 36 have a GCF of 12 (which is 3) and an LCM of 36. So there you have it, darling, a match made in math heaven.
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.
The GCF is 3.
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.
To find a pair of numbers with a given GCF, take the GCF number and double it. The pair of numbers is the GCF, and two times the GCF. For instance, two numbers with a GCF of 3 are 3 and 6.
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.