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 912, 835, 905, 998

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


Find the LCM of 912, 835, 905, 998 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 912, 835, 905, 998. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 912,835,905,998

Given numbers are 912,835,905,998

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

The LCM of 912,835,905,998 is 68779724880.

Find LCM of 912,835,905,998 with Prime Factorization


2 912, 835, 905, 998
5 456, 835, 905, 499
456, 167, 181, 499

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

2 x 5 x 456 x 167 x 181 x 499 = 68779724880

Therefore, the lowest common multiple of 912,835,905,998 is 68779724880.

LCM Formula to Find Lowest Common Multiple of 912,835,905,998

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.

912 x 835 x 905 x 998 = 687797248800

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.

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

835 : 1, 5, 167, 835

905 : 1, 5, 181, 905

998 : 1, 2, 499, 998

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 912,835,905,998, is 1.

Now, the common factors can be found like this.

912:2x 2x 2x 2x 3x 19

835:5x 167

905:5x 181

998:2x 499

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 687797248800/(1x10)

LCM = 687797248800/10

LCM = 68779724880

Thus, we can understand that the LCM of 912,835,905,998 is 68779724880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 912, 835, 905, 998

1. What is the LCM of 912, 835, 905, 998?

Answer: LCM of 912, 835, 905, 998 is 68779724880.

2. How to calculate the LCM of 912, 835, 905, 998?

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 912, 835, 905, 998.

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}.