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LCM of 255, 287, 683, 702

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


Find the LCM of 255, 287, 683, 702 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 255, 287, 683, 702. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 255,287,683,702

Given numbers are 255,287,683,702

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

The LCM of 255,287,683,702 is 11696573070.

Find LCM of 255,287,683,702 with Prime Factorization


3 255, 287, 683, 702
85, 287, 683, 234

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

3 x 85 x 287 x 683 x 234 = 11696573070

Therefore, the lowest common multiple of 255,287,683,702 is 11696573070.

LCM Formula to Find Lowest Common Multiple of 255,287,683,702

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.

255 x 287 x 683 x 702 = 35089719210

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.

255 : 1, 3, 5, 15, 17, 51, 85, 255

287 : 1, 7, 41, 287

683 : 1, 683

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 255,287,683,702, is 1.

Now, the common factors can be found like this.

255:3x 5x 17

287:7x 41

683:683

702:2x 3x 3x 3x 13

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

3 = 3

Therefore, the value for common factors is 3.

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 = 35089719210/(1x3)

LCM = 35089719210/3

LCM = 11696573070

Thus, we can understand that the LCM of 255,287,683,702 is 11696573070.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 255, 287, 683, 702

1. What is the LCM of 255, 287, 683, 702?

Answer: LCM of 255, 287, 683, 702 is 11696573070.

2. How to calculate the LCM of 255, 287, 683, 702?

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 255, 287, 683, 702.

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}.