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 708, 138, 561, 484, 885

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


Find the LCM of 708, 138, 561, 484, 885 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 708, 138, 561, 484, 885. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 708,138,561,484,885

Given numbers are 708,138,561,484,885

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

The LCM of 708,138,561,484,885 is 167480940.

Find LCM of 708,138,561,484,885 with Prime Factorization


2 708, 138, 561, 484, 885
2 354, 69, 561, 242, 885
3 177, 69, 561, 121, 885
11 59, 23, 187, 121, 295
59 59, 23, 17, 11, 295
1, 23, 17, 11, 5

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

2 x 2 x 3 x 11 x 59 x 1 x 23 x 17 x 11 x 5 = 167480940

Therefore, the lowest common multiple of 708,138,561,484,885 is 167480940.

LCM Formula to Find Lowest Common Multiple of 708,138,561,484,885

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.

708 x 138 x 561 x 484 x 885 = 23478148092960

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.

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

138 : 1, 2, 3, 6, 23, 46, 69, 138

561 : 1, 3, 11, 17, 33, 51, 187, 561

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

885 : 1, 3, 5, 15, 59, 177, 295, 885

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,138,561,484,885, is 1.

Now, the common factors can be found like this.

708:2x 2x 3x 59

138:2x 3x 23

561:3x 11x 17

484:2x 2x 11x 11

885:3x 5x 59

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 3x 3x 3x 11x 59 = 140184

Therefore, the value for common factors is 140184.

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 = 23478148092960/(1x140184)

LCM = 23478148092960/140184

LCM = 167480940

Thus, we can understand that the LCM of 708,138,561,484,885 is 167480940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 708, 138, 561, 484, 885

1. What is the LCM of 708, 138, 561, 484, 885?

Answer: LCM of 708, 138, 561, 484, 885 is 167480940.

2. How to calculate the LCM of 708, 138, 561, 484, 885?

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 708, 138, 561, 484, 885.

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}.