LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 255, 310, 378, 544

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


Find the LCM of 255, 310, 378, 544 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, 310, 378, 544. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 255,310,378,544

Given numbers are 255,310,378,544

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

The LCM of 255,310,378,544 is 15936480.

Find LCM of 255,310,378,544 with Prime Factorization


2 255, 310, 378, 544
3 255, 155, 189, 272
5 85, 155, 63, 272
17 17, 31, 63, 272
1, 31, 63, 16

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

2 x 3 x 5 x 17 x 1 x 31 x 63 x 16 = 15936480

Therefore, the lowest common multiple of 255,310,378,544 is 15936480.

LCM Formula to Find Lowest Common Multiple of 255,310,378,544

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 310 x 378 x 544 = 16255209600

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

310 : 1, 2, 5, 10, 31, 62, 155, 310

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 255,310,378,544, is 1.

Now, the common factors can be found like this.

255:3x 5x 17

310:2x 5x 31

378:2x 3x 3x 3x 7

544:2x 2x 2x 2x 2x 17

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

2x 2x 3x 5x 17 = 1020

Therefore, the value for common factors is 1020.

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 = 16255209600/(1x1020)

LCM = 16255209600/1020

LCM = 15936480

Thus, we can understand that the LCM of 255,310,378,544 is 15936480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 255, 310, 378, 544

1. What is the LCM of 255, 310, 378, 544?

Answer: LCM of 255, 310, 378, 544 is 15936480.

2. How to calculate the LCM of 255, 310, 378, 544?

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, 310, 378, 544.

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}.