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LCM of 343, 818, 818, 855

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


Find the LCM of 343, 818, 818, 855 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 343, 818, 818, 855. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 343,818,818,855

Given numbers are 343,818,818,855

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

The LCM of 343,818,818,855 is 239890770.

Find LCM of 343,818,818,855 with Prime Factorization


2 343, 818, 818, 855
409 343, 409, 409, 855
343, 1, 1, 855

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

2 x 409 x 343 x 1 x 1 x 855 = 239890770

Therefore, the lowest common multiple of 343,818,818,855 is 239890770.

LCM Formula to Find Lowest Common Multiple of 343,818,818,855

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.

343 x 818 x 818 x 855 = 196230649860

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.

343 : 1, 7, 49, 343

818 : 1, 2, 409, 818

818 : 1, 2, 409, 818

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,818,818,855, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

818:2x 409

818:2x 409

855:3x 3x 5x 19

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

2x 409 = 818

Therefore, the value for common factors is 818.

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 = 196230649860/(1x818)

LCM = 196230649860/818

LCM = 239890770

Thus, we can understand that the LCM of 343,818,818,855 is 239890770.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 343, 818, 818, 855

1. What is the LCM of 343, 818, 818, 855?

Answer: LCM of 343, 818, 818, 855 is 239890770.

2. How to calculate the LCM of 343, 818, 818, 855?

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 343, 818, 818, 855.

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}.