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LCM of 985, 405, 135, 357

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


Find the LCM of 985, 405, 135, 357 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 985, 405, 135, 357. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 985,405,135,357

Given numbers are 985,405,135,357

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

The LCM of 985,405,135,357 is 9494415.

Find LCM of 985,405,135,357 with Prime Factorization


3 985, 405, 135, 357
3 985, 135, 45, 119
3 985, 15, 45, 119
5 985, 5, 15, 119
197, 1, 3, 119

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

3 x 3 x 3 x 5 x 197 x 1 x 3 x 119 = 9494415

Therefore, the lowest common multiple of 985,405,135,357 is 9494415.

LCM Formula to Find Lowest Common Multiple of 985,405,135,357

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.

985 x 405 x 135 x 357 = 19226190375

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.

985 : 1, 5, 197, 985

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

135 : 1, 3, 5, 9, 15, 27, 45, 135

357 : 1, 3, 7, 17, 21, 51, 119, 357

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 985,405,135,357, is 1.

Now, the common factors can be found like this.

985:5x 197

405:3x 3x 3x 3x 5

135:3x 3x 3x 5

357:3x 7x 17

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

3x 3x 3x 3x 5x 5 = 2025

Therefore, the value for common factors is 2025.

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 = 19226190375/(1x2025)

LCM = 19226190375/2025

LCM = 9494415

Thus, we can understand that the LCM of 985,405,135,357 is 9494415.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 985, 405, 135, 357

1. What is the LCM of 985, 405, 135, 357?

Answer: LCM of 985, 405, 135, 357 is 9494415.

2. How to calculate the LCM of 985, 405, 135, 357?

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 985, 405, 135, 357.

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}.