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 813, 869, 892, 700, 956

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


Find the LCM of 813, 869, 892, 700, 956 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 813, 869, 892, 700, 956. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 813,869,892,700,956

Given numbers are 813,869,892,700,956

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

The LCM of 813,869,892,700,956 is 26357919426300.

Find LCM of 813,869,892,700,956 with Prime Factorization


2 813, 869, 892, 700, 956
2 813, 869, 446, 350, 478
813, 869, 223, 175, 239

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

2 x 2 x 813 x 869 x 223 x 175 x 239 = 26357919426300

Therefore, the lowest common multiple of 813,869,892,700,956 is 26357919426300.

LCM Formula to Find Lowest Common Multiple of 813,869,892,700,956

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.

813 x 869 x 892 x 700 x 956 = 421726710820800

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.

813 : 1, 3, 271, 813

869 : 1, 11, 79, 869

892 : 1, 2, 4, 223, 446, 892

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

956 : 1, 2, 4, 239, 478, 956

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,869,892,700,956, is 1.

Now, the common factors can be found like this.

813:3x 271

869:11x 79

892:2x 2x 223

700:2x 2x 5x 5x 7

956:2x 2x 239

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 2 = 16

Therefore, the value for common factors is 16.

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 = 421726710820800/(1x16)

LCM = 421726710820800/16

LCM = 26357919426300

Thus, we can understand that the LCM of 813,869,892,700,956 is 26357919426300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 813, 869, 892, 700, 956

1. What is the LCM of 813, 869, 892, 700, 956?

Answer: LCM of 813, 869, 892, 700, 956 is 26357919426300.

2. How to calculate the LCM of 813, 869, 892, 700, 956?

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 813, 869, 892, 700, 956.

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}.