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LCM of 111, 148, 288, 448

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 111, 148, 288, 448 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 111, 148, 288, 448. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 111,148,288,448

Given numbers are 111,148,288,448

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 111,148,288,448 is 149184.

Find LCM of 111,148,288,448 with Prime Factorization


2 111, 148, 288, 448
2 111, 74, 144, 224
2 111, 37, 72, 112
2 111, 37, 36, 56
2 111, 37, 18, 28
3 111, 37, 9, 14
37 37, 37, 3, 14
1, 1, 3, 14

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 2 x 2 x 3 x 37 x 1 x 1 x 3 x 14 = 149184

Therefore, the lowest common multiple of 111,148,288,448 is 149184.

LCM Formula to Find Lowest Common Multiple of 111,148,288,448

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

111 x 148 x 288 x 448 = 2119606272

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

111 : 1, 3, 37, 111

148 : 1, 2, 4, 37, 74, 148

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 111,148,288,448, is 1.

Now, the common factors can be found like this.

111:3x 37

148:2x 2x 37

288:2x 2x 2x 2x 2x 3x 3

448:2x 2x 2x 2x 2x 2x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 2x 2x 3x 37 = 14208

Therefore, the value for common factors is 14208.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 2119606272/(1x14208)

LCM = 2119606272/14208

LCM = 149184

Thus, we can understand that the LCM of 111,148,288,448 is 149184.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 111, 148, 288, 448

1. What is the LCM of 111, 148, 288, 448?

Answer: LCM of 111, 148, 288, 448 is 149184.

2. How to calculate the LCM of 111, 148, 288, 448?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 111, 148, 288, 448.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.