Given Numbers are 968, 975

We can find the LCM of 968, 975 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 968 and 975

Multiples of 968 =968,1936,2904,3872,4840,5808,6776,7744,8712,9680,10648,11616,12584,13552,14520,15488,16456,

Multiples of 975 =975,1950,2925,3900,4875,5850,6825,7800,8775,9750,10725,11700,12675,13650,14625,15600,16575,

Now, get the least common multiple of 968, 975 which is 943800

So, the LCM of 968, 975 is 943800.

One method for determining the LCM of 968 and 975 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:

Here is 968's prime factorization:

Prime factors of 968 are 2,11.

968 = 2³×11²

And this is 975's prime factorization:

Prime factors of 975 are 3, 5,13.

975 = 3¹×5²×13¹

When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered: 2,11, 3, 5,13

2³×3¹×5²×11²×13¹ = 943800

This shows that the LCM of 968 and 975 is 943800.

The first step in determining the Least Common Multiple of 968 and 975 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 968 and 975:

Lets look at the first ten multiples of these numbers, 968 and 975:

968,1936,2904,3872,4840,5808,6776,7744,8712,16456 are the first ten multiples of 968.

975,1950,2925,3900,4875,5850,6825,7800,8775,16575 are the first ten multiples of 975.

You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 968 and 975, for example, are 11616, 16456, and 15600. 943800 is the least common multiple since it is the smallest.

968 and 975 have an LCM of 943800.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 968 and 975, than apply into the LCM equation.

GCF(968,975) = 1
LCM(968,975) = ( 968 × 975) / 1
LCM(968,975) = 943800 / 1
LCM(968,975) = 943800

1. What is the LCM of 968 and 975?

The LCM of 968 and 975 is 943800.

2. How to find the lowest common multiple of 968 and 975?

To find the lowest common multiple of 968 and 975, we have to get the multip;es of both numbers and identify the least common multiple in them which is 943800.

3. What are the Factors of 968?

Answer: Factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968. There are 12 integers that are factors of 968. The greatest factor of 968 is 968.

4. What are the Factors of 975?

Answer: Factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975. There are 12 integers that are factors of 975. The greatest factor of 975 is 975.

Answer:

Least Common Multiple of 968 and 975 = 943800

Step 1: Find the prime factorization of 968

968 = 2 x 2 x 2 x 11 x 11

Step 2: Find the prime factorization of 975

975 = 3 x 5 x 5 x 13

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 943800 = 2 x 2 x 2 x 3 x 5 x 5 x 11 x 11 x 13

Step 4: Therefore, the least common multiple of 968 and 975 is 943800.