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 918, 570, 792, 856

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


Find the LCM of 918, 570, 792, 856 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 918, 570, 792, 856. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 918,570,792,856

Given numbers are 918,570,792,856

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

The LCM of 918,570,792,856 is 410584680.

Find LCM of 918,570,792,856 with Prime Factorization


2 918, 570, 792, 856
2 459, 285, 396, 428
2 459, 285, 198, 214
3 459, 285, 99, 107
3 153, 95, 33, 107
51, 95, 11, 107

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

2 x 2 x 2 x 3 x 3 x 51 x 95 x 11 x 107 = 410584680

Therefore, the lowest common multiple of 918,570,792,856 is 410584680.

LCM Formula to Find Lowest Common Multiple of 918,570,792,856

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.

918 x 570 x 792 x 856 = 354745163520

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.

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

856 : 1, 2, 4, 8, 107, 214, 428, 856

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 918,570,792,856, is 2.

Now, the common factors can be found like this.

918:2x 3x 3x 3x 17

570:2x 3x 5x 19

792:2x 2x 2x 3x 3x 11

856:2x 2x 2x 107

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 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 354745163520/(2x432)

LCM = 354745163520/864

LCM = 410584680

Thus, we can understand that the LCM of 918,570,792,856 is 410584680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 918, 570, 792, 856

1. What is the LCM of 918, 570, 792, 856?

Answer: LCM of 918, 570, 792, 856 is 410584680.

2. How to calculate the LCM of 918, 570, 792, 856?

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 918, 570, 792, 856.

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}.