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 312, 311, 107, 267, 754

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


Find the LCM of 312, 311, 107, 267, 754 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 312, 311, 107, 267, 754. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 312,311,107,267,754

Given numbers are 312,311,107,267,754

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

The LCM of 312,311,107,267,754 is 26797036344.

Find LCM of 312,311,107,267,754 with Prime Factorization


2 312, 311, 107, 267, 754
3 156, 311, 107, 267, 377
13 52, 311, 107, 89, 377
4, 311, 107, 89, 29

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

2 x 3 x 13 x 4 x 311 x 107 x 89 x 29 = 26797036344

Therefore, the lowest common multiple of 312,311,107,267,754 is 26797036344.

LCM Formula to Find Lowest Common Multiple of 312,311,107,267,754

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.

312 x 311 x 107 x 267 x 754 = 2090168834832

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

311 : 1, 311

107 : 1, 107

267 : 1, 3, 89, 267

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,311,107,267,754, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

311:311

107:107

267:3x 89

754:2x 13x 29

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 13 = 78

Therefore, the value for common factors is 78.

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 = 2090168834832/(1x78)

LCM = 2090168834832/78

LCM = 26797036344

Thus, we can understand that the LCM of 312,311,107,267,754 is 26797036344.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 312, 311, 107, 267, 754

1. What is the LCM of 312, 311, 107, 267, 754?

Answer: LCM of 312, 311, 107, 267, 754 is 26797036344.

2. How to calculate the LCM of 312, 311, 107, 267, 754?

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 312, 311, 107, 267, 754.

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}.