233,144 find LCM by Euclid DIVISION
Answers
Answer:
Step-by-step explanation:
HCF (225,135) = 45
Process used is the Euclid's Division Algorithm.
Please refer the above photograph for the used process.
EUCLID'S DIVISION ALGORITHM :-
Euclid's Division Algorithm states that the divided is equal to product of the divisor and quotient added to the remainder.
The representation is as follows :-
For any real number 'A' , there is always a unique number 'B' which satisfies the equation given by :-
A = Bq + r
Where,
Quotient is denoted by q and the remainder is denoted by r.
Now,
We know that :-
☸️ HCF * LCM = PRODUCT OF THE TWO NUMBERS.
so,
LCM = PRODUCT ÷HCF
So,
LCM = (225 * 135) / 45 = 5 *135 = 675
hope this will help you...