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LCM of 202, 841, 448, 729

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


Find the LCM of 202, 841, 448, 729 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 202, 841, 448, 729. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 202,841,448,729

Given numbers are 202,841,448,729

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

The LCM of 202,841,448,729 is 27741051072.

Find LCM of 202,841,448,729 with Prime Factorization


2 202, 841, 448, 729
101, 841, 224, 729

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

2 x 101 x 841 x 224 x 729 = 27741051072

Therefore, the lowest common multiple of 202,841,448,729 is 27741051072.

LCM Formula to Find Lowest Common Multiple of 202,841,448,729

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.

202 x 841 x 448 x 729 = 55482102144

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.

202 : 1, 2, 101, 202

841 : 1, 29, 841

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

729 : 1, 3, 9, 27, 81, 243, 729

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 202,841,448,729, is 1.

Now, the common factors can be found like this.

202:2x 101

841:29x 29

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

729:3x 3x 3x 3x 3x 3

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

2 = 2

Therefore, the value for common factors is 2.

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 = 55482102144/(1x2)

LCM = 55482102144/2

LCM = 27741051072

Thus, we can understand that the LCM of 202,841,448,729 is 27741051072.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 202, 841, 448, 729

1. What is the LCM of 202, 841, 448, 729?

Answer: LCM of 202, 841, 448, 729 is 27741051072.

2. How to calculate the LCM of 202, 841, 448, 729?

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 202, 841, 448, 729.

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}.