Question

Find the HCF and LCM of:
(a) 87 and 145
​

Answer 1

Answer:

Because 435 is the first number to appear on both lists of multiples, 435 is the LCM of 87 and 145.

Answer 2

Answer:

To find the HCF and LCM of 87 and 145 we will find their factors first.

We break the number as product of factors

87= 1x 3x29

145= 1 x 5 x29

Now observing, we can see that

a) the highest common factor is 29, thus HCF is 29

b) Lowest Common Multiple

the number occuring common is 29 and 1

we will write them once and also balance numbers will be written and multiplied, which gives Lowest common multiple

=> ( 1x29x 3x5) =435

thus HCF= 29

LCM=435

Step-by-step explanation:

The H.C.F. defines the greatest factor present in between given two or more numbers, whereas L.C.M. defines the least number which is exactly divisible by two or more numbers

The  product of highest common factor (H.C.F.) and lowest common multiple (L.C.M.) of two numbers is equal to the product of two numbers

Hope it helps