Why is LCM and HCF important?

L.C.M and H.C.F of two or more numbers help in finding out quick solutions and thus reduce time during examinations. The concept of L.C.M. is important to solve problems related to racetracks, traffic lights, etc.

Where do we use LCM?

The lcm is the “lowest common denominator” (lcd) that can be used before fractions can be added, subtracted or compared. The lcm of more than two integers is also well-defined: it is the smallest positive integer that is divisible by each of them.

Why is HCF used?

HCF : The largest number that divides two or more numbers is the highest common factor (HCF) for those numbers. For example, consider the numbers 30 (2 x 3 x 5), 36 (2 x 2 x 3 x 3), 42 (2 x 3 x 7), 45 (3 x 3 x 5). 3 is the largest number that divides each of these numbers, and hence, is the HCF for these numbers.

What are the applications of HCF and LCM in daily life?

FOR example- you have extra pipes with 24m,48m,72m,36m lengths.Take hcf and we get 12. SO,12m length is the maximum length ,we can cut with minimum wastages. And let there are only four bars or pipes the number of 12m length pipe is (2+4+6+3)= (15)pipes we have. We can apply this in textile works for saving our clothes.

How is LCM used in the real world?

LCM (Least common multiple) is the least number which is exactly divisible by each one of the given numbers. It is used to solve problems related to racetracks, traffic lights, to predict when an event occurs again over the same period and so on. Here are some ways the concept of LCM is applied in our everyday life:

Which is the best example of HCF in real life?

1) About an event that is or will be repeating over and over. 2) To purchase or get multiple items in order to have enough. 3) To figure out when something will happen again at the same time. Real life example : Ram exercises every 12 days and Deepika every 8 days. Ram and Deepika both exercised today.

Which is the best example of H.C.F?

H.C.F. : We use H.C.F. method where we need : 1) To split things into smaller sections? 2) To equally distribute 2 or more sets of items into their largest grouping? 3) To figure out how many people we can invite? 4) To arrange something into rows or groups? Real life example : ​ Priyanka has two pieces of cloth.

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