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LCM of 117, 765, 754, 338

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


Find the LCM of 117, 765, 754, 338 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 117, 765, 754, 338. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 117,765,754,338

Given numbers are 117,765,754,338

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

The LCM of 117,765,754,338 is 7498530.

Find LCM of 117,765,754,338 with Prime Factorization


2 117, 765, 754, 338
3 117, 765, 377, 169
3 39, 255, 377, 169
13 13, 85, 377, 169
1, 85, 29, 13

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

2 x 3 x 3 x 13 x 1 x 85 x 29 x 13 = 7498530

Therefore, the lowest common multiple of 117,765,754,338 is 7498530.

LCM Formula to Find Lowest Common Multiple of 117,765,754,338

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.

117 x 765 x 754 x 338 = 22810528260

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.

117 : 1, 3, 9, 13, 39, 117

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

754 : 1, 2, 13, 26, 29, 58, 377, 754

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,765,754,338, is 1.

Now, the common factors can be found like this.

117:3x 3x 13

765:3x 3x 5x 17

754:2x 13x 29

338:2x 13x 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 3x 3x 13x 13 = 3042

Therefore, the value for common factors is 3042.

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 = 22810528260/(1x3042)

LCM = 22810528260/3042

LCM = 7498530

Thus, we can understand that the LCM of 117,765,754,338 is 7498530.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 117, 765, 754, 338

1. What is the LCM of 117, 765, 754, 338?

Answer: LCM of 117, 765, 754, 338 is 7498530.

2. How to calculate the LCM of 117, 765, 754, 338?

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 117, 765, 754, 338.

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}.