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The above is completely true. However, factoring problems in textbooks are usually arranged to have one correct answer. The thing these sorts of problems want you to remember is that the product of the GCF and the LCM of a pair of numbers is the same as the product of the numbers. If you are given the GCF and LCM of a pair of numbers, multiply them together. The numbers will be another factor pair of that product.
You cannot.
For example,
the numbers 110 and 231 have LCM = 11 and GCF = 2310
the numbers 154 and 165 also have LCM = 11 and GCF = 2310.
So given the LCM and GCF you would have no way of knowing which of the two pairs the original numbers were.
Many such examples can be constructed. If you wish to do that then you may wish to note that:
110 = 2*5*11 and 231 = 3*7*11
while
154 = 2*7*11 and 165 = 3*5*11
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How do you find the LCM using GCF?
The GCF of two numbers multiplied by their LCM will equal the product of the original numbers. If you know the GCF, divide it into the product of the two. The result will be the LCM. If the GCF of two numbers is 1, the LCM is their product.
How do you find GCF knowing LCM?
The LCM of two numbers multiplied by their GCF will equal the product of the original numbers. If you know the LCM, divide it into the product. The result will be the GCF.
Which is greater gcf or LCM?
The LCM of two numbers will never be less than the GCF.
Is greater the LCM of the numbers or the numbers or the GCF of the numbers?
The LCM will never be less than the GCF of a set of numbers.
How do you change GCF into a LCM with 3 numbers?
The product of the GCF and the LCM is the same as the product of the original two numbers. Divide the product of the original numbers by the GCF. The result will be the LCM.
What is the product of the GCF and LCM of two numbers?
The product of the GCF and LCM of a pair of numbers is equal to the product of the numbers.
If you know the gcf of two numbers is 1 can you predict what the LCM will be?
You have to multiply the two numbes together to get the LCM.
Can the GCF of 2 different numbers is the LCM of the numbers?
No, the only way the GCF and LCM of two numbers can be the same is if the numbers are the same.
Can the GCF of two different numbers is the LCM of the numbers?
No, the only way the GCF and LCM of two numbers can be the same is if the numbers are the same.
What is the LCM and GCF of 486472?
To find the LCM and GCF of numbers at least two or more numbers are neeeded.
If the GCF of two numbers and the LCM is 144 what would the numbers be?
If the GCF and the LCM are both 144, then so are both of the numbers.
What is the Gcf and the LCM of the numbers 76 and 57?
The GCF is: 19The LCM is: 228
