Given Numbers are 134, 140

We can find the LCM of 134, 140 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 134 and 140

Multiples of 134 =134,268,402,536,670,804,938,1072,1206,1340,1474,1608,1742,1876,2010,2144,2278,

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

Now, get the least common multiple of 134, 140 which is 9380

So, the LCM of 134, 140 is 9380.

One method for determining the LCM of 134 and 140 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 134's prime factorization:

Prime factors of 134 are 2,67.

134 = 2¹×67¹

And this is 140's prime factorization:

Prime factors of 140 are 2, 5,7.

140 = 2²×5¹×7¹

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: 2,67, 5,7

2²×5¹×7¹×67¹ = 9380

This shows that the LCM of 134 and 140 is 9380.

The first step in determining the Least Common Multiple of 134 and 140 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 134 and 140:

Lets look at the first ten multiples of these numbers, 134 and 140:

134,268,402,536,670,804,938,1072,1206,2278 are the first ten multiples of 134.

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

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 134 and 140, for example, are 1608, 2278, and 2240. 9380 is the least common multiple since it is the smallest.

134 and 140 have an LCM of 9380.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 134 and 140, than apply into the LCM equation.

GCF(134,140) = 2
LCM(134,140) = ( 134 × 140) / 2
LCM(134,140) = 18760 / 2
LCM(134,140) = 9380

1. What is the LCM of 134 and 140?

The LCM of 134 and 140 is 9380.

2. How to find the lowest common multiple of 134 and 140?

To find the lowest common multiple of 134 and 140, we have to get the multip;es of both numbers and identify the least common multiple in them which is 9380.

3. What are the Factors of 134?

Answer: Factors of 134 are 1, 2, 67, 134. There are 4 integers that are factors of 134. The greatest factor of 134 is 134.

4. 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.

Answer:

Least Common Multiple of 134 and 140 = 9380

Step 1: Find the prime factorization of 134

134 = 2 x 67

Step 2: Find the prime factorization of 140

140 = 2 x 2 x 5 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 = 9380 = 2 x 2 x 5 x 7 x 67

Step 4: Therefore, the least common multiple of 134 and 140 is 9380.