what is the lcm of 100,150 and 200 by division method
Answers
Answer:
Heya user, LCM of numbers are the Least Common Multiple , i.e., the highest power of the factors of the given numbers .. And hence, the LCM of 100, 150 and 200 is 600.
Step-by-step explanation:
Answer:
600
Step-by-step explanation:
Since this is a simple thing and you asked about it, I have explained elaborately to make you understand the concept clearly.
LCM is least common multiple. Which means the first common number that matches in the tables of these 3 numbers.
100 = 100, 200, 300, 400, 500, 600...
150 = 150, 300, 450, 600...
200 = 200, 400, 600..
Since you cannot do the tables each time to identify it. Here is the simple way to find it.
You will have to divide all the numbers by 2, 3, 5, 7 suitably together till you get any of these numbers (2, 3, 5, 7, 1) at the end, with no more possible divisions. The number you pick should divide at least 2 of the numbers (100, 150, 200).
Since 100, 150, 200 are easily divisible by 5 I will do that first...
(100, 150, 200) - 5
(20, 30, 40) - 5
(4, 6, 8) - 2
(2, 3, 4) - 2; (you can further divide by 2 although we cant divide it by 3.)
(1, 3, 2)
WE got 1, 3, 2. We can no longer divide since these are prime numbers.
So we get 5, 5, 2, 2, 1, 3, 2
Multiply all these and that will be the LCM. 25*4*6 = 600.