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LCM of 765, 274, 318, 855

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


Find the LCM of 765, 274, 318, 855 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 765, 274, 318, 855. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 765,274,318,855

Given numbers are 765,274,318,855

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

The LCM of 765,274,318,855 is 211077270.

Find LCM of 765,274,318,855 with Prime Factorization


2 765, 274, 318, 855
3 765, 137, 159, 855
3 255, 137, 53, 285
5 85, 137, 53, 95
17, 137, 53, 19

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

2 x 3 x 3 x 5 x 17 x 137 x 53 x 19 = 211077270

Therefore, the lowest common multiple of 765,274,318,855 is 211077270.

LCM Formula to Find Lowest Common Multiple of 765,274,318,855

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.

765 x 274 x 318 x 855 = 56990862900

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.

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

274 : 1, 2, 137, 274

318 : 1, 2, 3, 6, 53, 106, 159, 318

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,274,318,855, is 1.

Now, the common factors can be found like this.

765:3x 3x 5x 17

274:2x 137

318:2x 3x 53

855:3x 3x 5x 19

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 3x 5 = 270

Therefore, the value for common factors is 270.

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 = 56990862900/(1x270)

LCM = 56990862900/270

LCM = 211077270

Thus, we can understand that the LCM of 765,274,318,855 is 211077270.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 765, 274, 318, 855

1. What is the LCM of 765, 274, 318, 855?

Answer: LCM of 765, 274, 318, 855 is 211077270.

2. How to calculate the LCM of 765, 274, 318, 855?

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 765, 274, 318, 855.

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}.