explain how to take LCM in surds by giving examples
Answers
The Least Common Multiple (LCM) of a group of numbers is the smallest number that is a multiple of all the numbers. For instance, the LCM of 16 and 20 is 80; 80 is the smallest number that is both a multiple of 16 and a multiple of 20. You can find the LCM of two or more numbers through various methods.
Multiple of a Number
This is an ideal method for larger numbers.This method is factoring both numbers down to the prime numbers that are multiplied to create that number as a product.
For Example :- Let's say you're looking for the least common multiple of 20 and 42. Here's how you would factor them 20 = 2 x 2 x 5 and 42 = 2 x 3 x 7
If the number just occurs in one number, then it has one occurrence. Here is a list of the most occurrences of each prime number from the previous example 2 → 2 times 3 → 1 time 5 → 1 time 7 → 1 time
Since 2 occurs twice, you'll have to multiply it twice. Here's what you should do to find the LCM: 2 x 2 x 3 x 5 x 7 = 420.
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