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LCM of 340, 526, 526, 243

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


Find the LCM of 340, 526, 526, 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 340, 526, 526, 243. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 340,526,526,243

Given numbers are 340,526,526,243

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

The LCM of 340,526,526,243 is 21729060.

Find LCM of 340,526,526,243 with Prime Factorization


2 340, 526, 526, 243
263 170, 263, 263, 243
170, 1, 1, 243

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

2 x 263 x 170 x 1 x 1 x 243 = 21729060

Therefore, the lowest common multiple of 340,526,526,243 is 21729060.

LCM Formula to Find Lowest Common Multiple of 340,526,526,243

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.

340 x 526 x 526 x 243 = 22858971120

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.

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

526 : 1, 2, 263, 526

526 : 1, 2, 263, 526

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 340,526,526,243, is 1.

Now, the common factors can be found like this.

340:2x 2x 5x 17

526:2x 263

526:2x 263

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 2x 263 = 1052

Therefore, the value for common factors is 1052.

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 = 22858971120/(1x1052)

LCM = 22858971120/1052

LCM = 21729060

Thus, we can understand that the LCM of 340,526,526,243 is 21729060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 340, 526, 526, 243

1. What is the LCM of 340, 526, 526, 243?

Answer: LCM of 340, 526, 526, 243 is 21729060.

2. How to calculate the LCM of 340, 526, 526, 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 340, 526, 526, 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}.