Understanding Least Common Multiple (LCM) with Desmos

This video tutorial demonstrates how to determine the least common multiple (LCM) of a set of numbers using Desmos.com. It explains the concept of LCM as the smallest positive integer divisible by all given integers. The tutorial provides step-by-step instructions on using the Desmos graphing calculator to find the LCM of different sets of numbers, including examples with numbers 12 and 15, 6, 9, and 14, and 15, 25, 35, and 42. The video concludes with a summary of the results and emphasizes the importance of understanding LCM.

What is the least common multiple of two or more integers?

• The smallest positive integer that is divisible by all given integers

• The product of all given integers

• The sum of all given integers

• The largest positive integer that is divisible by all given integers

Which website is used in the lesson to find the least common multiple?

• GeoGebra

• Wolfram Alpha

• Desmos

• Khan Academy

What function is used in Desmos to calculate the least common multiple?

• factor

• multiply

• gcd

• lcm

What is the least common multiple of 12 and 15 as calculated using Desmos?

• 45

• 60

• 30

• 75

How do you enter the numbers to find their LCM in Desmos?

• Separate them with a comma

• Separate them with a semicolon

• Separate them with a space

• Separate them with a colon

What is the least common multiple of 6, 9, and 14?

• 144

• 108

• 126

• 84

What is the least common multiple of 15, 25, 35, and 42?

• 840

• 1050

• 1470

• 1260

Why is 60 the least common multiple of 12 and 15?

• Because it is the sum of both numbers

• Because it is the smallest number divisible by both

• Because it is the largest number divisible by both

• Because it is the product of both numbers

Why is 126 the least common multiple of 6, 9, and 14?

• Because it is the product of all three numbers

• Because it is the sum of all three numbers

• Because it is the smallest number divisible by all three

• Because it is the largest number divisible by all three

Why is 1050 the least common multiple of 15, 25, 35, and 42?

• Because it is the product of all four numbers

• Because it is the sum of all four numbers

• Because it is the smallest number divisible by all four

• Because it is the largest number divisible by all four