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 311, 287, 715, 749

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


Find the LCM of 311, 287, 715, 749 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 311, 287, 715, 749. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 311,287,715,749

Given numbers are 311,287,715,749

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

The LCM of 311,287,715,749 is 6828606785.

Find LCM of 311,287,715,749 with Prime Factorization


7 311, 287, 715, 749
311, 41, 715, 107

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

7 x 311 x 41 x 715 x 107 = 6828606785

Therefore, the lowest common multiple of 311,287,715,749 is 6828606785.

LCM Formula to Find Lowest Common Multiple of 311,287,715,749

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.

311 x 287 x 715 x 749 = 47800247495

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.

311 : 1, 311

287 : 1, 7, 41, 287

715 : 1, 5, 11, 13, 55, 65, 143, 715

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,287,715,749, is 1.

Now, the common factors can be found like this.

311:311

287:7x 41

715:5x 11x 13

749:7x 107

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

7 = 7

Therefore, the value for common factors is 7.

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 = 47800247495/(1x7)

LCM = 47800247495/7

LCM = 6828606785

Thus, we can understand that the LCM of 311,287,715,749 is 6828606785.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 311, 287, 715, 749

1. What is the LCM of 311, 287, 715, 749?

Answer: LCM of 311, 287, 715, 749 is 6828606785.

2. How to calculate the LCM of 311, 287, 715, 749?

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 311, 287, 715, 749.

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}.