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LCM of 153, 618, 874, 243

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


Find the LCM of 153, 618, 874, 243 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 153, 618, 874, 243. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 153,618,874,243

Given numbers are 153,618,874,243

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

The LCM of 153,618,874,243 is 371880882.

Find LCM of 153,618,874,243 with Prime Factorization


2 153, 618, 874, 243
3 153, 309, 437, 243
3 51, 103, 437, 81
17, 103, 437, 27

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

2 x 3 x 3 x 17 x 103 x 437 x 27 = 371880882

Therefore, the lowest common multiple of 153,618,874,243 is 371880882.

LCM Formula to Find Lowest Common Multiple of 153,618,874,243

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.

153 x 618 x 874 x 243 = 20081567628

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.

153 : 1, 3, 9, 17, 51, 153

618 : 1, 2, 3, 6, 103, 206, 309, 618

874 : 1, 2, 19, 23, 38, 46, 437, 874

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,618,874,243, is 1.

Now, the common factors can be found like this.

153:3x 3x 17

618:2x 3x 103

874:2x 19x 23

243:3x 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.

2x 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 20081567628/(1x54)

LCM = 20081567628/54

LCM = 371880882

Thus, we can understand that the LCM of 153,618,874,243 is 371880882.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 153, 618, 874, 243

1. What is the LCM of 153, 618, 874, 243?

Answer: LCM of 153, 618, 874, 243 is 371880882.

2. How to calculate the LCM of 153, 618, 874, 243?

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 153, 618, 874, 243.

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}.