Now out of all the multiples we can see that the number 60 is the first occurring number. Therefore, the least common multiple of 1,2,3,4,5 is 60. Therefore, the least positive integer which is divisible by first five natural numbers is 60.

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10=2×5=1×10, has factors 1,2,5 and 10 hence, is also not prime. 11=1×11, has only two factors therefore it is prime. So our first 5 prime numbers are 2,3,5,7,11. Hence, the answer is 28.

The mean is calculated by dividing the sum of observations by the number of observations. We will find the sum of observations by adding all the first five natural numbers. Hence, the mean of the first five natural numbers is 3.

THE MEAN = THE SUM OF OBSERVATIONS / NO OF OBSERVATIONS. MEAN = 2+4+6+8+10. =6. NATURAL NUMBERS = 6.

Hence, the LCM of the number from 1 to 10 is 2520.

Answer: LCM of the first 10 natural numbers is 2520.

To find : The LCM of first 10 natural numbers? Solution : The first 10 natural numbers are 1,2,3,4,5,6,7,8,9,10. Therefore, The LCM of the first 10 natural numbers is 2520.

What is the LCM of 1 and 20? The LCM of 1 and 20 is 20.

Therefore, the first ten natural numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

According to the question the LCM of first 100 natural numbers is N. And we know that 101 is a prime number. So there is no scope of any common factors in between 101 and N. Therefore the LCM of 101 and N = 101N.

Let n be the largest natural number such that pn≤N. Then the LCM of the first N natural numbers is given by n∏k=1p⌊lnN/lnpk⌋k.

Generate all prime number less then 10^6 and store in Array prime by using Sieve of Eratosthenes. Find the maximum number which is less than the given number and equal to power of the prime. Then multiply this number with lcm variable.

1. int main()
2. { int array[20], count, limit, value = 1;
3. printf(“/nEnter Total Number of Elements for LCM Calculation: /t”); scanf(“%d”, &limit);
4. printf(“/nEnter %d Numbers to Calculate LCM:/n”, limit); count = 0;
5. while(count < limit) {
6. scanf(“%d”, &array[count]); count++;
7. } count = 0;
8. while(count < limit) {

LCM (Least Common Multiple) of two numbers is the smallest number which can be divided by both numbers. For example, LCM of 15 and 20 is 60, and LCM of 5 and 7 is 35.

HCF= Highest common factors. GCD= Greatest common divisor. Names are different otherwise they’re one and same.

How to find LCM by Prime Factorization

1. Find all the prime factors of each given number.
2. List all the prime numbers found, as many times as they occur most often for any one given number.
3. Multiply the list of prime factors together to find the LCM.

Find the LCM using the prime factors method

• Find the prime factorization of each number.
• Write each number as a product of primes, matching primes vertically when possible.
• Bring down the primes in each column.
• Multiply the factors to get the LCM.

The least common multiple can be defined as the lowest positive integer that is multiple in a given set of numbers. The least common multiple is sometimes referred to as the lowest common multiple and abbreviated as (LCM). For instance, the LCM of 2, 3, and 7 is 42 because 42 is a multiple of 2, 3, and 7.

The least common multiple is the product of all factors in the greatest number of their occurrence. The least common multiple of 3, 9 and 36 is 36.

The LCM of 9 and 36 is 36.

The factors of 36 are 36, 18, 12, 9, 6, 4, 3, 2, 1. The common factors of 9 and 36 are 9, 3, 1, intersecting the two sets above. In the intersection factors of 9 ∩ factors of 36 the greatest element is 9. Therefore, the greatest common factor of 9 and 36 is 9.