Given Numbers are 973, 980

We can find the LCM of 973, 980 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 973 and 980

Multiples of 973 =973,1946,2919,3892,4865,5838,6811,7784,8757,9730,10703,11676,12649,13622,14595,15568,16541,

Multiples of 980 =980,1960,2940,3920,4900,5880,6860,7840,8820,9800,10780,11760,12740,13720,14700,15680,16660,

Now, get the least common multiple of 973, 980 which is 136220

So, the LCM of 973, 980 is 136220.

One method for determining the LCM of 973 and 980 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 973's prime factorization:

Prime factors of 973 are 7,139.

973 = 7¹×139¹

And this is 980's prime factorization:

Prime factors of 980 are 2, 5,7.

980 = 2²×5¹×7²

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: 7,139, 2,5

2²×5¹×7²×139¹ = 136220

This shows that the LCM of 973 and 980 is 136220.

The first step in determining the Least Common Multiple of 973 and 980 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 973 and 980:

Lets look at the first ten multiples of these numbers, 973 and 980:

973,1946,2919,3892,4865,5838,6811,7784,8757,16541 are the first ten multiples of 973.

980,1960,2940,3920,4900,5880,6860,7840,8820,16660 are the first ten multiples of 980.

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 973 and 980, for example, are 11676, 16541, and 15680. 136220 is the least common multiple since it is the smallest.

973 and 980 have an LCM of 136220.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 973 and 980, than apply into the LCM equation.

GCF(973,980) = 7
LCM(973,980) = ( 973 × 980) / 7
LCM(973,980) = 953540 / 7
LCM(973,980) = 136220

1. What is the LCM of 973 and 980?

The LCM of 973 and 980 is 136220.

2. How to find the lowest common multiple of 973 and 980?

To find the lowest common multiple of 973 and 980, we have to get the multip;es of both numbers and identify the least common multiple in them which is 136220.

3. What are the Factors of 973?

Answer: Factors of 973 are 1, 7, 139, 973. There are 4 integers that are factors of 973. The greatest factor of 973 is 973.

4. What are the Factors of 980?

Answer: Factors of 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980. There are 18 integers that are factors of 980. The greatest factor of 980 is 980.

Answer:

Least Common Multiple of 973 and 980 = 136220

Step 1: Find the prime factorization of 973

973 = 7 x 139

Step 2: Find the prime factorization of 980

980 = 2 x 2 x 5 x 7 x 7

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

LCM = 136220 = 2 x 2 x 5 x 7 x 7 x 139

Step 4: Therefore, the least common multiple of 973 and 980 is 136220.