Q: Two numbers have an LCM of 30 and an HCF of 3 What are they?

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3 and 30

3 and 30

3 and 30.

HCF is the highest common factor of two or more numbers. HCF of 20 and 30 is 10.

HCF of 3 means that the two numbers share 3 as a prime factor. LCM of 30 means there is a 2, a 3 and a 5 as prime factors between the numbers. With this info, we can have the combination where one number has a 2 and the other a 5 (and both have the 3) or one number has just the 3 and the other has 2, 3 and 5. Thus the 2 numbers can be 6 and 15. Or they can be 3 and 30.

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3 and 30

3 and 30

3 and 30

Use GCF instead of HCF. 6 and 30 would be those numbers...

To find the LCM of two numbers, you first split them into their prime factors: 30 = 2x3x5 75 = 3x5x5 Next you need to work out the HCF. Here, the HCF will be 3x5 = 15. Finally, you multiply the numbers together and divide by the HCF. 30x75/15 = 150. Therefore the LCM of 30 and 75 is 150.

3 and 30.

2 and 15 3 and 10 5 and 6

6 and 10 2x3=6 2x5=10 HCF=2 LCM=30

30 and 3.

In these types of problems, the numbers can also be the answer. 3 and 30 have a GCF of 3 and an LCM of 30. Since the product of the GCF and LCM of two numbers is the same as the product of the numbers, you could also use another factor pair of 90, like 6 and 15.

30 & 1. 15 & 2. 10 & 3.

Any two numbers that have a common factor greater than 1 will have a LCM less than their product, eg: LCM(10, 15) = 30 < 10 x 15 = 150 (since HCF(10, 15) = 5) LCM(6, 10) = 30 < 6 x 10 = 60 (since HCF(6, 10) = 2) LCM(18, 27) = 54 < 18 x 27 = 486 (since HCF(18, 27) = 9)