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LCM of 705, 435, 969, 205

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


Find the LCM of 705, 435, 969, 205 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 705, 435, 969, 205. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 705,435,969,205

Given numbers are 705,435,969,205

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

The LCM of 705,435,969,205 is 270753135.

Find LCM of 705,435,969,205 with Prime Factorization


3 705, 435, 969, 205
5 235, 145, 323, 205
47, 29, 323, 41

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

3 x 5 x 47 x 29 x 323 x 41 = 270753135

Therefore, the lowest common multiple of 705,435,969,205 is 270753135.

LCM Formula to Find Lowest Common Multiple of 705,435,969,205

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.

705 x 435 x 969 x 205 = 60919455375

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

435 : 1, 3, 5, 15, 29, 87, 145, 435

969 : 1, 3, 17, 19, 51, 57, 323, 969

205 : 1, 5, 41, 205

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,435,969,205, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

435:3x 5x 29

969:3x 17x 19

205:5x 41

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 5x 5 = 225

Therefore, the value for common factors is 225.

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 = 60919455375/(1x225)

LCM = 60919455375/225

LCM = 270753135

Thus, we can understand that the LCM of 705,435,969,205 is 270753135.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 705, 435, 969, 205

1. What is the LCM of 705, 435, 969, 205?

Answer: LCM of 705, 435, 969, 205 is 270753135.

2. How to calculate the LCM of 705, 435, 969, 205?

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 705, 435, 969, 205.

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}.