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Example: 30 and 42

Factor them.

2 x 3 x 5 = 30

2 x 3 x 7 = 42

Select the common factors.

2 x 3 = 6, the GCF

Select the highest amount of each factor.

2 x 3 x 5 x 7 = 210, the LCM

Check it.

30 x 42 = 1260

210 x 6 = 1260

It checks.

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Q: How do you find HCF and LCM of rational number?
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Related questions

If LCM and HCF is known of 2 number along with 1 number can you find second number?

Yes: product of a & b = LCM x HCF so b = (LCM x HCF)/a


The product of two number is 20736 and their HCF is 54 find the LCM?

LCM = Product/HCF = 384


The HCF of 2 numbers is 11 and their LCM is 7700If one of the number is 275 find the other?

In order to find the other number, we can use the relationship between the HCF and LCM. By multiplying the HCF and LCM together and dividing by one of the numbers, we can find the other number. So, (11 * 7700) / 275 = 308. Therefore, the other number is 308.


What are the four methods to find LCM and HCF?

hcf or gcf. first write the numbers the number can be multiplied to get it,you will have more than one or two numbers and when you see you have the number in a row then look for the highest number in all row .LCM do same as hcf but the numbers you got just multiply.try 2,4,16,24,48 you must get for LCM get 144 and for hcf or gcf you must get 24.


If the product oftwo numbers is 810 if there HCF IS 9 FIND LCM?

if the product of two numbers is 810 if there hcf is 9 find Lcm


If 13 is HCF of 2 number whose product is 1690 find the LCM?

To find the LCM, you multiply the numbers together and then divide by the HCF. In this case, we don't know the numbers, but we have the HCF (13) and we have the product of the numbers (1690). Thus all you do is divide 1690 by 13 to get: 1690/13 = 130 And thus the LCM of two numbers whose hcf is 13 and product is 1690 is 130.


How will I find a number when the LCM is 252 and HCF is 14 and the first number is 28?

The product of the GCF and LCM of two numbers is equal to the product of the two numbers. The other number is 126.


The HCF of two numbers is 4 and their LCM is 576 If one of the numbers is 64 find the other number?

I have been preparing for my GRE and have been practicing similar questions from www.examville.com The other number = HCF * LCM / Given number = 4 * 576 / 64 = 36


How do you find sets of two numbers if HCF and LCM are known?

You cannot. The numbers 2 and 12 have hcf = 2 and LCM = 12 The numbers 4 and 6 also have hcf = 2 and LCM = 12 So if you just knew the hcf and LCM you would not know which of the two was the required pair.


If the HCF and LCM of two numbers are 17 and 102 respectively and the HCF and LCM of two other numbers are 68 and 476 respectively then find the sum of the HCF and LCM of these four numbers?

HCF of 17 and 68 is 17 ..( Lowest Prime factor ) LCM Of 102 and 476 is 7*2^2*3*17 which is 1428 .. ==> Sum of HCF and LCM are 1428+17= 1445 .


What is the LCM of 10and20 to their hcf?

LCM is 20 and the hcf is 10


What is the HCF and LCM of 3 and 18?

HCF = 3... LCM = 18 !