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LCM of 185, 224, 898, 768

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


Find the LCM of 185, 224, 898, 768 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 185, 224, 898, 768. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 185,224,898,768

Given numbers are 185,224,898,768

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

The LCM of 185,224,898,768 is 446557440.

Find LCM of 185,224,898,768 with Prime Factorization


2 185, 224, 898, 768
2 185, 112, 449, 384
2 185, 56, 449, 192
2 185, 28, 449, 96
2 185, 14, 449, 48
185, 7, 449, 24

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

2 x 2 x 2 x 2 x 2 x 185 x 7 x 449 x 24 = 446557440

Therefore, the lowest common multiple of 185,224,898,768 is 446557440.

LCM Formula to Find Lowest Common Multiple of 185,224,898,768

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.

185 x 224 x 898 x 768 = 28579676160

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.

185 : 1, 5, 37, 185

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

898 : 1, 2, 449, 898

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 185,224,898,768, is 1.

Now, the common factors can be found like this.

185:5x 37

224:2x 2x 2x 2x 2x 7

898:2x 449

768:2x 2x 2x 2x 2x 2x 2x 2x 3

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 2 = 64

Therefore, the value for common factors is 64.

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 = 28579676160/(1x64)

LCM = 28579676160/64

LCM = 446557440

Thus, we can understand that the LCM of 185,224,898,768 is 446557440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 185, 224, 898, 768

1. What is the LCM of 185, 224, 898, 768?

Answer: LCM of 185, 224, 898, 768 is 446557440.

2. How to calculate the LCM of 185, 224, 898, 768?

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 185, 224, 898, 768.

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}.