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LCM of 775, 283, 338, 702

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


Find the LCM of 775, 283, 338, 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 775, 283, 338, 702. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 775,283,338,702

Given numbers are 775,283,338,702

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

The LCM of 775,283,338,702 is 2001559950.

Find LCM of 775,283,338,702 with Prime Factorization


2 775, 283, 338, 702
13 775, 283, 169, 351
775, 283, 13, 27

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

2 x 13 x 775 x 283 x 13 x 27 = 2001559950

Therefore, the lowest common multiple of 775,283,338,702 is 2001559950.

LCM Formula to Find Lowest Common Multiple of 775,283,338,702

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.

775 x 283 x 338 x 702 = 52040558700

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.

775 : 1, 5, 25, 31, 155, 775

283 : 1, 283

338 : 1, 2, 13, 26, 169, 338

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 775,283,338,702, is 1.

Now, the common factors can be found like this.

775:5x 5x 31

283:283

338:2x 13x 13

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.

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 52040558700/(1x26)

LCM = 52040558700/26

LCM = 2001559950

Thus, we can understand that the LCM of 775,283,338,702 is 2001559950.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 775, 283, 338, 702

1. What is the LCM of 775, 283, 338, 702?

Answer: LCM of 775, 283, 338, 702 is 2001559950.

2. How to calculate the LCM of 775, 283, 338, 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 775, 283, 338, 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}.