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, 770, 616, 736

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


Find the LCM of 311, 770, 616, 736 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, 770, 616, 736. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 311,770,616,736

Given numbers are 311,770,616,736

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

The LCM of 311,770,616,736 is 88124960.

Find LCM of 311,770,616,736 with Prime Factorization


2 311, 770, 616, 736
2 311, 385, 308, 368
2 311, 385, 154, 184
7 311, 385, 77, 92
11 311, 55, 11, 92
311, 5, 1, 92

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

2 x 2 x 2 x 7 x 11 x 311 x 5 x 1 x 92 = 88124960

Therefore, the lowest common multiple of 311,770,616,736 is 88124960.

LCM Formula to Find Lowest Common Multiple of 311,770,616,736

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 770 x 616 x 736 = 108569950720

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

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,770,616,736, is 1.

Now, the common factors can be found like this.

311:311

770:2x 5x 7x 11

616:2x 2x 2x 7x 11

736:2x 2x 2x 2x 2x 23

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 2x 2x 7x 11 = 1232

Therefore, the value for common factors is 1232.

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 = 108569950720/(1x1232)

LCM = 108569950720/1232

LCM = 88124960

Thus, we can understand that the LCM of 311,770,616,736 is 88124960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 311, 770, 616, 736

1. What is the LCM of 311, 770, 616, 736?

Answer: LCM of 311, 770, 616, 736 is 88124960.

2. How to calculate the LCM of 311, 770, 616, 736?

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, 770, 616, 736.

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}.