Given Numbers are 970, 977

We can find the LCM of 970, 977 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 970 and 977

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

Multiples of 977 =977,1954,2931,3908,4885,5862,6839,7816,8793,9770,10747,11724,12701,13678,14655,15632,16609,

Now, get the least common multiple of 970, 977 which is 947690

So, the LCM of 970, 977 is 947690.

One method for determining the LCM of 970 and 977 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 977's prime factorization:

Prime factors of 977 are 977.

977 = 977¹

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, 5,97,977

2¹×5¹×97¹×977¹ = 947690

This shows that the LCM of 970 and 977 is 947690.

The first step in determining the Least Common Multiple of 970 and 977 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 970 and 977:

Lets look at the first ten multiples of these numbers, 970 and 977:

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

977,1954,2931,3908,4885,5862,6839,7816,8793,16609 are the first ten multiples of 977.

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 977, for example, are 11640, 16490, and 15632. 947690 is the least common multiple since it is the smallest.

970 and 977 have an LCM of 947690.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 970 and 977, than apply into the LCM equation.

GCF(970,977) = 1
LCM(970,977) = ( 970 × 977) / 1
LCM(970,977) = 947690 / 1
LCM(970,977) = 947690

1. What is the LCM of 970 and 977?

The LCM of 970 and 977 is 947690.

2. How to find the lowest common multiple of 970 and 977?

To find the lowest common multiple of 970 and 977, we have to get the multip;es of both numbers and identify the least common multiple in them which is 947690.

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 977?

Answer: Factors of 977 are 1, 977. There are 2 integers that are factors of 977. The greatest factor of 977 is 977.

Answer:

Least Common Multiple of 970 and 977 = 947690

Step 1: Find the prime factorization of 970

970 = 2 x 5 x 97

Step 2: Find the prime factorization of 977

977 = 977

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

LCM = 947690 = 2 x 5 x 97 x 977

Step 4: Therefore, the least common multiple of 970 and 977 is 947690.