Given Numbers are 970, 974

We can find the LCM of 970, 974 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 970 and 974

Multiples of 970 =970,1940,2910,3880,4850,5820,6790,7760,8730,9700,10670,11640,12610,13580,14550,15520,16490,

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

Now, get the least common multiple of 970, 974 which is 472390

So, the LCM of 970, 974 is 472390.

One method for determining the LCM of 970 and 974 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 970's prime factorization:

Prime factors of 970 are 2, 5,97.

970 = 2¹×5¹×97¹

And this is 974's prime factorization:

Prime factors of 974 are 2,487.

974 = 2¹×487¹

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, 5,97,487

2¹×5¹×97¹×487¹ = 472390

This shows that the LCM of 970 and 974 is 472390.

The first step in determining the Least Common Multiple of 970 and 974 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 970 and 974:

Lets look at the first ten multiples of these numbers, 970 and 974:

970,1940,2910,3880,4850,5820,6790,7760,8730,16490 are the first ten multiples of 970.

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

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 970 and 974, for example, are 11640, 16490, and 15584. 472390 is the least common multiple since it is the smallest.

970 and 974 have an LCM of 472390.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 970 and 974, than apply into the LCM equation.

GCF(970,974) = 2
LCM(970,974) = ( 970 × 974) / 2
LCM(970,974) = 944780 / 2
LCM(970,974) = 472390

1. What is the LCM of 970 and 974?

The LCM of 970 and 974 is 472390.

2. How to find the lowest common multiple of 970 and 974?

To find the lowest common multiple of 970 and 974, we have to get the multip;es of both numbers and identify the least common multiple in them which is 472390.

3. What are the Factors of 970?

Answer: Factors of 970 are 1, 2, 5, 10, 97, 194, 485, 970. There are 8 integers that are factors of 970. The greatest factor of 970 is 970.

4. 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.

Answer:

Least Common Multiple of 970 and 974 = 472390

Step 1: Find the prime factorization of 970

970 = 2 x 5 x 97

Step 2: Find the prime factorization of 974

974 = 2 x 487

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

LCM = 472390 = 2 x 5 x 97 x 487

Step 4: Therefore, the least common multiple of 970 and 974 is 472390.