Given Numbers are 140, 147

We can find the LCM of 140, 147 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 140 and 147

Multiples of 140 =140,280,420,560,700,840,980,1120,1260,1400,1540,1680,1820,1960,2100,2240,2380,

Multiples of 147 =147,294,441,588,735,882,1029,1176,1323,1470,1617,1764,1911,2058,2205,2352,2499,

Now, get the least common multiple of 140, 147 which is 2940

So, the LCM of 140, 147 is 2940.

One method for determining the LCM of 140 and 147 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 140's prime factorization:

Prime factors of 140 are 2, 5,7.

140 = 2²×5¹×7¹

And this is 147's prime factorization:

Prime factors of 147 are 3,7.

147 = 3¹×7²

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, 5,7,3

2²×3¹×5¹×7² = 2940

This shows that the LCM of 140 and 147 is 2940.

The first step in determining the Least Common Multiple of 140 and 147 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 140 and 147:

Lets look at the first ten multiples of these numbers, 140 and 147:

140,280,420,560,700,840,980,1120,1260,2380 are the first ten multiples of 140.

147,294,441,588,735,882,1029,1176,1323,2499 are the first ten multiples of 147.

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 140 and 147, for example, are 1680, 2380, and 2352. 2940 is the least common multiple since it is the smallest.

140 and 147 have an LCM of 2940.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 140 and 147, than apply into the LCM equation.

GCF(140,147) = 7
LCM(140,147) = ( 140 × 147) / 7
LCM(140,147) = 20580 / 7
LCM(140,147) = 2940

1. What is the LCM of 140 and 147?

The LCM of 140 and 147 is 2940.

2. How to find the lowest common multiple of 140 and 147?

To find the lowest common multiple of 140 and 147, we have to get the multip;es of both numbers and identify the least common multiple in them which is 2940.

3. What are the Factors of 140?

Answer: Factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140. There are 12 integers that are factors of 140. The greatest factor of 140 is 140.

4. What are the Factors of 147?

Answer: Factors of 147 are 1, 3, 7, 21, 49, 147. There are 6 integers that are factors of 147. The greatest factor of 147 is 147.

Answer:

Least Common Multiple of 140 and 147 = 2940

Step 1: Find the prime factorization of 140

140 = 2 x 2 x 5 x 7

Step 2: Find the prime factorization of 147

147 = 3 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 = 2940 = 2 x 2 x 3 x 5 x 7 x 7

Step 4: Therefore, the least common multiple of 140 and 147 is 2940.