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 399, 707, 687, 770

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


Find the LCM of 399, 707, 687, 770 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 399, 707, 687, 770. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 399,707,687,770

Given numbers are 399,707,687,770

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

The LCM of 399,707,687,770 is 1015131810.

Find LCM of 399,707,687,770 with Prime Factorization


3 399, 707, 687, 770
7 133, 707, 229, 770
19, 101, 229, 110

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

3 x 7 x 19 x 101 x 229 x 110 = 1015131810

Therefore, the lowest common multiple of 399,707,687,770 is 1015131810.

LCM Formula to Find Lowest Common Multiple of 399,707,687,770

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.

399 x 707 x 687 x 770 = 149224376070

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.

399 : 1, 3, 7, 19, 21, 57, 133, 399

707 : 1, 7, 101, 707

687 : 1, 3, 229, 687

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 399,707,687,770, is 1.

Now, the common factors can be found like this.

399:3x 7x 19

707:7x 101

687:3x 229

770:2x 5x 7x 11

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

3x 7x 7 = 147

Therefore, the value for common factors is 147.

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 = 149224376070/(1x147)

LCM = 149224376070/147

LCM = 1015131810

Thus, we can understand that the LCM of 399,707,687,770 is 1015131810.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 399, 707, 687, 770

1. What is the LCM of 399, 707, 687, 770?

Answer: LCM of 399, 707, 687, 770 is 1015131810.

2. How to calculate the LCM of 399, 707, 687, 770?

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 399, 707, 687, 770.

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}.