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The LCM of two numbers A and B = AB ÷ F, where F is the GCF

For this question, AB = 270 x 9 = 2430

We now need to find a set of paired factors of 2430 such that both numbers are divisible by 9. So, just taking one of the pair as being a multiple of 9 then :-

270 x 9......Yes

135 x 18....Yes

90 x 27......Yes

67.5 x 36....No

54 x 45......Yes.........which is as far as we need to check.

So there are four pairs of numbers satisfying the given conditions : 270 & 9, 135 & 18, 90 & 27 and 45 & 54.

Q: What two numbers have a GCF of 9 and LCM of 270?

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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.

No, the only way the GCF and LCM of two numbers can be the same is if the numbers are the same.

The product of the GCF and LCM of a pair of numbers is equal to the product of the numbers.

The product of the GCF and the LCM of two numbers is equal to the product of the original two numbers. Multiply the GCF and the LCM. The original two numbers will be another factor pair of that total. Find the factor pair that has that GCF and LCM.

If the GCF of two numbers is 12 and the LCM is 24, the two numbers are 12 and 24.

Related questions

15 and 270 do.

You need at least two numbers to find an LCM.

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.

No, the only way the GCF and LCM of two numbers can be the same is if the numbers are the same.

The product of the GCF and LCM of a pair of numbers is equal to the product of the numbers.

The product of the GCF and the LCM of two numbers is equal to the product of the original two numbers. Multiply the GCF and the LCM. The original two numbers will be another factor pair of that total. Find the factor pair that has that GCF and LCM.

The LCM of two numbers will never be less than the GCF.

To find the LCM and GCF of numbers at least two or more numbers are neeeded.

No, the only way the GCF and LCM of two numbers can be the same is if the numbers are the same.

If the GCF and the LCM are both 144, then so are both of the 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.

If the GCF of two numbers is 12 and the LCM is 24, the two numbers are 12 and 24.