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C Program to Find LCM of n Numbers



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In this tutorial, you will learn and get code about finding the LCM of n numbers. Or you can says that, here the program is created to find LCM of an array. But before going through the program, I recommend you to visit Find LCM of Two Numbers once (if not visited). Because, the program given here is relatable to the program in that article.

Find LCM of n Numbers in C

The question is write a program in C to find out LCM of n numbers (a given array). The answer to this question is:

#include<stdio.h>
#include<conio.h>
int main()
{
    int arr[10], n, mp, i, count;
    printf("Enter the Size: ");
    scanf("%d", &n);
    printf("Enter %d Numbers: ", n);
    for(i=0; i<n; i++)
        scanf("%d", &arr[i]);
    i=0;
    mp = arr[i];
    while(i<n)
    {
        if(mp<arr[i])
            mp = arr[i];
        i++;
    }
    while(1)
    {
        i=0;
        count=0;
        while(i<n)
        {
            if(mp%arr[i]==0)
                count++;
            i++;
        }
        if(count==n)
            break;
        else
            mp++;
    }
    printf("\nLCM(");
    for(i=0; i<(n-1); i++)
        printf("%d,", arr[i]);
    printf("%d) = %d", arr[i], mp);
    getch();
    return 0;
}

This program was build and run under Code::Blocks IDE. Here is its sample run:

c program find lcm n numbers

Now supply 5 as size and enter 5 numbers say 10, 12, 15, 20, 30. Then press ENTER key to see the following output:

find lcm of n numbers c

Program Explained

The statement:

while(i<n)
{
    if(mp%arr[i]==0)
        count++;
    i++;
}

is used to check whether value at mp is divisible by all the numbers or not. If it is divisible by any number, then increment the value of count. After exiting this loop, checks whether count is equal to the array size or not. If it is equal, then mp is divisible by all the numbers. Because every time the condition of if blocks evaluates to be true and program flow goes inside the block and increments the value of count.

For example, let's suppose the size of array is 5 and the elements are 10, 12, 15, 20, 30. Then program flow goes like:

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