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 704, 712, 878, 671

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


Find the LCM of 704, 712, 878, 671 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 704, 712, 878, 671. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 704,712,878,671

Given numbers are 704,712,878,671

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

The LCM of 704,712,878,671 is 1677865024.

Find LCM of 704,712,878,671 with Prime Factorization


2 704, 712, 878, 671
2 352, 356, 439, 671
2 176, 178, 439, 671
11 88, 89, 439, 671
8, 89, 439, 61

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

2 x 2 x 2 x 11 x 8 x 89 x 439 x 61 = 1677865024

Therefore, the lowest common multiple of 704,712,878,671 is 1677865024.

LCM Formula to Find Lowest Common Multiple of 704,712,878,671

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.

704 x 712 x 878 x 671 = 295304244224

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.

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

712 : 1, 2, 4, 8, 89, 178, 356, 712

878 : 1, 2, 439, 878

671 : 1, 11, 61, 671

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,712,878,671, is 1.

Now, the common factors can be found like this.

704:2x 2x 2x 2x 2x 2x 11

712:2x 2x 2x 89

878:2x 439

671:11x 61

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 11 = 176

Therefore, the value for common factors is 176.

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 = 295304244224/(1x176)

LCM = 295304244224/176

LCM = 1677865024

Thus, we can understand that the LCM of 704,712,878,671 is 1677865024.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 704, 712, 878, 671

1. What is the LCM of 704, 712, 878, 671?

Answer: LCM of 704, 712, 878, 671 is 1677865024.

2. How to calculate the LCM of 704, 712, 878, 671?

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 704, 712, 878, 671.

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}.