Given Numbers are 974, 980

We can find the LCM of 974, 980 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 974 and 980

Multiples of 974 =974,1948,2922,3896,4870,5844,6818,7792,8766,9740,10714,11688,12662,13636,14610,15584,16558,

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 974, 980 which is 477260

So, the LCM of 974, 980 is 477260.

One method for determining the LCM of 974 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 974's prime factorization:

Prime factors of 974 are 2,487.

974 = 2¹×487¹

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: 2,487, 5,7

2²×5¹×7²×487¹ = 477260

This shows that the LCM of 974 and 980 is 477260.

The first step in determining the Least Common Multiple of 974 and 980 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 974 and 980:

Lets look at the first ten multiples of these numbers, 974 and 980:

974,1948,2922,3896,4870,5844,6818,7792,8766,16558 are the first ten multiples of 974.

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 974 and 980, for example, are 11688, 16558, and 15680. 477260 is the least common multiple since it is the smallest.

974 and 980 have an LCM of 477260.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 974 and 980, than apply into the LCM equation.

GCF(974,980) = 2
LCM(974,980) = ( 974 × 980) / 2
LCM(974,980) = 954520 / 2
LCM(974,980) = 477260

1. What is the LCM of 974 and 980?

The LCM of 974 and 980 is 477260.

2. How to find the lowest common multiple of 974 and 980?

To find the lowest common multiple of 974 and 980, we have to get the multip;es of both numbers and identify the least common multiple in them which is 477260.

3. What are the Factors of 974?

Answer: Factors of 974 are 1, 2, 487, 974. There are 4 integers that are factors of 974. The greatest factor of 974 is 974.

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 974 and 980 = 477260

Step 1: Find the prime factorization of 974

974 = 2 x 487

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 = 477260 = 2 x 2 x 5 x 7 x 7 x 487

Step 4: Therefore, the least common multiple of 974 and 980 is 477260.