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They have several applications.

To add, subtract, or just compare two fractions, you need to convert both fractions to a common denominator. The least common multiple is usually used, although any common multiple would work in this particular case (e.g., just multiplying the two denominators).

To simplify a fraction, you divide the numerator and the denominator by the same number. If you divide them by the greatest common factor, no further simplifications are possible.

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Q: Why is it important to find the LCM and HCF with numbers?
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Related questions

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


Can the HCF of two numbers be a factor of their LCM?

The HCF is always a factor of the LCM of two numbers. The HCF is a factor of both the numbers which are factors of their LCM. Thus the HCF is also a factor of the LCM of the two numbers.


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 .


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.


What is the HCF and LCM of the numbers 526 and 213?

hcf: 1 lcm: 112,038


How do you find HCF if Lcm is 108?

Divide the product of the original numbers by 108, the LCM. The result will be the GCF.


Can HCF and LCM of two numbers be 27 and 288?

No. The LCM MUST be a multiple of the HCF.


The Product of two numbers is 1320 and their HCF is 6 Find the LCM of these two numbers?

220


Product of two numbers is 20736 and their HCF is 54 Find the LCM?

384


What numbers have a HCF of 3 and a LCM of 3?

Two or more numbers are needed to solve for HCF or LCM.


The LCM of two numbers is twice their HCF?

5 and 10 lcm- 10 and hcf= 5