The Least Common Multiple (LCM) of 80 and 84 is 1680. This is the smallest number that both 80 and 84 can divide into without leaving a remainder. Several methods exist to find the LCM of two numbers, including prime factorization, the division method, and listing multiples. In mathematics, the LCM of any two integers is the smallest value that can be divided evenly by both numbers.
For more information, check out: The concept of least common multiple
The LCM of 80 and 84 is 1680. The LCM of two non-zero integers, such as 80 and 84, is the smallest positive integer that both numbers can divide into evenly. This article shows you how to determine the LCM of 80 and 84 using several different methods.
You can find the LCM of 80 and 84 using three different methods:
What is the LCM of 80 and 84?
The LCM of 80 and 84 is 1680. To find the LCM (least common multiple) of 80 and 84, we need to find the multiples of 80 and 84 and choose the smallest multiple that is exactly divisible by 80 and 84, i.e., 1680.
List the methods used to find the LCM of 80 and 84.
The methods used to find the LCM of 80 and 84 are Prime Factorization Method, Division Method and Listing multiples.
What is the Least Perfect Square Divisible by 80 and 84?
The least number divisible by 80 and 84 = LCM(80, 84) = 2 × 2 × 2 × 2 × 3 × 5 × 7 [Incomplete pair(s): 3, 5, 7] ⇒ Least perfect square divisible by each 80 and 84 = LCM(80, 84) × 3 × 5 × 7 = 176400 [Square root of 176400 = √176400 = ±420] Therefore, 176400 is the required number.
If the LCM of 84 and 80 is 1680, Find its GCF.
LCM(84, 80) × GCF(84, 80) = 84 × 80. Since the LCM of 84 and 80 = 1680, ⇒ 1680 × GCF(84, 80) = 6720. Therefore, the GCF (greatest common factor) = 6720/1680 = 4.
Which of the following is the LCM of 80 and 84? 28, 45, 15, 1680
The value of LCM of 80, 84 is the smallest common multiple of 80 and 84. The number satisfying the given condition is 1680.