find the lcm of 168 175 350 by short division method
Answers
Answer:
4200
Step-by-step explanation:
Greatest Common Divisor Method
A third viable method for finding the LCM of some given integers is using the greatest common divisor. This is also frequently referred to as the greatest common factor (GCF), among other names. Refer to the link for details on how to determine the greatest common divisor. Given LCM(a, b), the procedure for finding the LCM using GCF is to divide the product of the numbers a and b by their GCF, i.e. (a × b)/GCF(a,b). When trying to determine the LCM of more than two numbers, for example LCM(a, b, c) find the LCM of a and b where the result will be q. Then find the LCM of c and q. The result will be the LCM of all three numbers. Using the previous example:
EX: Find LCM(21, 14, 38)
GCF(14, 38) = 2
LCM(14, 38) =
38 × 14
2
= 266
GCF(266, 21) = 7
LCM(266, 21) =
266 × 21
7
= 798
LCM(21, 14, 38) = 798
Note that it is not important which LCM is calculated first as long as all the numbers are used, and the method is followed accurately. Depending on the particular situation, each method has its own merits, and the user can decide which method to pursue at their own discretion.
change according to it