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LCM of 898, 183, 774, 452, 433

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


Find the LCM of 898, 183, 774, 452, 433 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 898, 183, 774, 452, 433. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 898,183,774,452,433

Given numbers are 898,183,774,452,433

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

The LCM of 898,183,774,452,433 is 2074500157788.

Find LCM of 898,183,774,452,433 with Prime Factorization


2 898, 183, 774, 452, 433
3 449, 183, 387, 226, 433
449, 61, 129, 226, 433

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

2 x 3 x 449 x 61 x 129 x 226 x 433 = 2074500157788

Therefore, the lowest common multiple of 898,183,774,452,433 is 2074500157788.

LCM Formula to Find Lowest Common Multiple of 898,183,774,452,433

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.

898 x 183 x 774 x 452 x 433 = 24894001893456

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.

898 : 1, 2, 449, 898

183 : 1, 3, 61, 183

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

452 : 1, 2, 4, 113, 226, 452

433 : 1, 433

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,183,774,452,433, is 1.

Now, the common factors can be found like this.

898:2x 449

183:3x 61

774:2x 3x 3x 43

452:2x 2x 113

433:433

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 3 = 12

Therefore, the value for common factors is 12.

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 = 24894001893456/(1x12)

LCM = 24894001893456/12

LCM = 2074500157788

Thus, we can understand that the LCM of 898,183,774,452,433 is 2074500157788.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 898, 183, 774, 452, 433

1. What is the LCM of 898, 183, 774, 452, 433?

Answer: LCM of 898, 183, 774, 452, 433 is 2074500157788.

2. How to calculate the LCM of 898, 183, 774, 452, 433?

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 898, 183, 774, 452, 433.

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}.